The Leonid meteor shower peaks on the night of Novenber 16/17. The moon doesn’t rise until a couple of hours before sunrise on the 17th making for good conditions for meteor watching. The best time for these meteors should be after midnight on the 17th but that doesn’t mean you can’t watch for some on the evening of the 16th. You should be able to see around 15 meteors per hour under the best viewing conditions.