Never into a sewage line going to a septic tank or other on-site sewage disposal system.
Almost all cities prohibit running gutter water or ground water or rain water into the sanitary sewer. Some cities let you drain to a storm sewer which is a separate system from the sanitary sewer.
Acceptable places to drain underground gutter collector piping:
1. Into a pit where a sump pump sends it away from the house,
2. Into a dedicated leach field (which can be constructed in the same manner as a French drain, in the same manner as a septic tank leach field, or any method in between),
3. Terrain permitting, a down sloping undrground pipe that eventually reaches the surface.
(One morning on WRKO Radio) The tub's not clean! Let's remodel the bathroom.
(One afternoon on WRKO Radio) It's time for an oil change. I'm going to trade in the car for next year's model.