WGKA does not have Pre-sunrise authority. They do have around 150 watts, as Mike noted, for the first two hours after sunset. After those first two hours they may operate with around 30 watts.
When Mike and I were working at 1190, then WGKA, we used the night hours. We even had a nice vist from Eric, with the FCC , because we were leaving the transmitter on for a hour after sign off. (Mistake in automation programming)
The FCC database does not show any night authorization. This is probably just an error but I'm not certain the authorization is still valid. If they are operating in the morning hours, between 6 AM and sunrise, they should be at around 30 watts. 30 Watts will provide decent coverage in downtown and midtown.