Now this is a perfect example of why it's best to use AGD's site. If you check the site, you'll see this is noted as being recorded on March 20 and June 4th;
The LP was
released on July 5th and the single on July 12th.
Wiki, on the other hand "appears" to show a recording date of March 20, but also has this info as "Released": track: July 12, 1965 at Western Studios and vocals: June 5, 1965 at Columbia Records Studio[1] ( the >1< is where they reference AGD's site)
Why wouldn't everyone go to the site forst? It has almost any information youy could hope to find!
That being said, I'm a little suspicious of the June 4th recording date, as to just what was actually worked on there, as there are test pressings of the LP dated prior to to June 4th. A question for the scholars to decide, I suppose