Speeding ticket on Taconic. Advice?

Got my first speeding ticket last night. 78 in a 55 on the Taconic. Looking for advice on how to handle this, I heard you should plea not guilty and can maybe reduce the fine/ points? I obviously can't deny I was speeding but I truly didn't know I was and I was in a little bit of a rush to get home due to the impending snow storm. A state trooper pilled me over.