†Is "intelligence" even the right word here? I don't know. Much depends on how you define it, I guess, combined with the unknowability of the pigeon's own mental processes.
(It's Tom Lehrer, for any who don't recognize it.)
The best time to visit is during the riverboat parade after Thanksgiving. Everything is lit up and many restaurants along the route offer dinner and nice views. Going during the summer can be incredibly hot and uncomfortable.