Congrats on your acquisition! Welcome to the club! Take some pics and go to the Fender Aerodyne Club
and get a number.
I'm not certain, but I don't think it's really a matter of "what year"
as it's more of a "what country of origin"
The one thing I do know about Aerodynes is that there are "export" and "non-export" models. The ones with a standard/flush-against-the-body output jacks are the "non-exports". They only come out to the States when they're specially ordered. Some models even have pickguards and jack plates instead of being rear-routed. Take a look at Fender Japan's site. You'll see a whole host of different Aerodyne bases, not just the black & cream-binding ones we only see here. http://www.fenderjapan.co.jp/products_jazzbass.html
On the left-side menu, any product starting with "AJ…" is an Aerodyne. The rest are more standard-ish jazz basses.
AJB: standard Aerodyne models (P/J configuration, pickguard & jack plate)
AJB-DX: deluxe models (the aforementioned "non-export" style)
AJB-M: a shorter scale-length Aerodyne
AJB-V: a five-stringer ala the standard model, but with two jazz pickups
The candy apple red AJB is definitely on my "Lottery List". It is super-hot!