packs are measured in amp·hours (Ah), not amp·henries (AH)
C means h-1, or “per hour” in a similar way that Hz (hertz) means “per second” or s-1
So 1C at 10Ah is 1C · 10Ah = 1h-1 · 10Ah = 10A
But this is only an upper ceiling. Charging at lower rates can slightly extend pack life. Though proper balancing and cutoffs seems more important to extend pack lifetime.