Carl,
(starting from ground zero, just to make sure we're up to speed)
First, the red herring -- the 35C is the discharge rate and usually has little to do with charge rate (higher discharge may mean better built battery, but not always). If they spec a charge rate, then you *can* use that, otherwise, assume 1C charge rate or lower and you're batteries will behave nicely for your charger.
Second, the cell count "S" sets your target voltage. If you've charger wants the setting for cell, it's easy -- just use the S number for a single pack. Otherwise if it wants voltage, set it to cell count x voltage (charger might want nominal voltage -- S x 3.7V -- or full voltage -- S x 4.2).
Finally, the maximum current is set by the "charge rate" x "charge capacity". the capacity is the mAh if it's in the hundreds or thousands. If it's in a small decimal number (0.8 or 4.4), it's in Ah. for the bigger number, it's charge rate x capacity / 1000. if it's the little number, it's charge rate x capacity.
So for your 5000mah battery, at a 1C rate will need 5000mA, or 5A.
that's all for a single pack (but you've gotten this far, right?)
**IF you are charging multiple packs with a parallel wire harness** the max charge current adds but the target voltage remains the same( for example 3 of those 5000mAh packs at 1C will need 5A+5A+5A = 3x 5A = 15A MAX, but voltage stays 3S).
**IF you are charging multiple packs with a series wire harness** the max charge current stays the same, but the target voltage adds (for example 2 of those 5000 mAh packs at 1C still needs 5A max, but the charger needs to be set to 3s+3s = 2 X 3s = 6S voltage)
**** only charge batteries of the same size in parallel/series. otherwise, charging them together is just not a good idea.
** if your charger has multiple screens/controls/plugs** It's really several independent chargers sharing the same power supply. Set up each charger for a single pack, according to what you've plugged in to it's ports. In this case the "same pack" restriction doesn't apply.
Regardless of how many cells and how they're wired up, you can charge at a lower current than the 1C rate -- it will just take longer. Some people choose to charge at 0.5C (or 2.5A for the example) just as insurance that their batteries last longer.
