The Soviet sources I read consistently indicate the following data for Shpitalny-Vladimirov Aviation Highcaliber (ShVAK):
Entered service: 1936
First combat use: 1939, Khalkhin-Gol operation against Japanese on I-16s
Caliber: 20mm
Weight of the projectile: 96 grams
Initial muzzle velocity: 800 m/s
Rounds per minute: 800
Weight of the cannon: 42 kg
Weight of a 1 second burst: 1.28 kg
BTW, only very early models of La-7 were armed with ShVAKs (and they had two of them, not three). Only one regiment got these La-7s.
Since late 1944 ShVAK was replaced by Berezin's B-20 on all Soviet fighters still in production (Yaks, Las etc.). The sources claim that while B-20 had the same ballistics as ShVAK it was almost two times lighter and simpler to manufacture. Here are the data for B-20:
Entered service: October 1944
Caliber: 20mm
Weight of the projectile: 96 grams
Initial muzzle velocity: 800 m/s
Rounds per minute: 800
Weight of the cannon: 25 kg
Weight of a one second burst: 1.28
Sources:
1. "Soviet firing arms" by D.N. Bolotin published by "Voenizdat" (USSR ministry of defense publishing house), 2nd edition, 1986
ID Nr: BBK68.512-B79-UDK623.44 (this is like western ISBN)
2. "Weapons of Victory" by:
Sr. editor V.N.Novikov (and 12 authors, among them designers and chief designers of Soviet weaponry, for example A.E. Nudelman (NS-23)) published by "Mashinostroyeniye" ("Machinebuilding"), 1985
ID Nr: BBK63.3(2)722-2-0-70-UDK623
3. "History of Aircraft Construction in the USSR" by V.B. Shavrov published by "Mashinostroyeniye" ("Machinebuilding", 3rd, corrected, edition, 1994
ISBN 5-217-00477-0