I guess its pretty easy to figure out the maximum power at the battery this time, since the cell hasn't changed.
So there should be a direct correlation between power and energy. Now we don't exactly know how much more energy it has, but since the range has gone up 16.66% and assuming that they didn't change anything else but the battery, I'd assume the new pack could make up to 595kW, which would mean that the Model S would be power limited by its motors, rather than its battery.
Could be wrong, but thats my best guess.
Edit: Forgot that the motor isn't 100% efficient, so probably still battery limited, since the motors combined output is something like 560kW, if I remember correctly.