Traffic Violation

I received a ticket for a red light violation in NYC (ticket: 1111(D) (1)). I honestly can’t remember what exactly happened, but I was making a right turn and pulled up into traffic and next thing you know a cop pulls up next to me and the car behind me and tells us to pull over and gives us both tickets. Usually when you run a red light you are consciously aware of the fact that you are doing it. The passenger in my car and myself were shocked and had no idea what we did until the ticket was given to me. Is this worth pleading not guilty to?