I believe Wuchak has it correct in his
entire post.
http://www.handgunlaw.us/states/newyork.pdf (very top right in red)
also to further one of his point, you are not required to notify a LEO that you have a weapon on you or in your vehicle. If he asks you about though, do not lie. Not only is that illegal, you are just better off being honest if questioned. Always have your license and CCW permit w/you while driving also.
here is original website if you want to learn more:
www.handgunlaw.us