The soon-to-be-official trade of linebacker Olivier Vernon just got a bit more attractive to the Giants, thanks to the Giants also shipping Odell Beckham Jr. to Cleveland.

Initially, the deal agreed upon last Friday between the Giants and Browns involved a swap of players — Vernon for guard Kevin Zeitler — and also an exchange of draft picks. The Giants agreed to send their fourth-round pick (No. 132 overall) in the 2019 NFL Draft to the Browns and get back Cleveland’s fifth-round pick (No. 155 overall).

After the same two teams Tuesday night struck an even bigger deal, this one involving Beckham, a new agreement was reached, with the Giants retaining their fourth-round pick and the Browns keeping their fifth-round pick previously part of the Vernon trade. And so, when the NFL starts up its new year at 4 p.m. on Wednesday, the Giants will send Beckham and Vernon to the Browns and get back Zeitler, safety Jabrill Peppers, a Browns first-round pick (No. 17 overall) and a Browns third-round pick (No. 95 overall).

When the dust settles, the Giants will have 12 picks in the upcoming draft:

First round (2): No. 6 overall, No. 17 overall

Second round (1): No. 37

Third round (1): No. 95

Fourth round (2): No. 108, No. 133

Fifth round (3): No. 142, No. 143, No. 171

Sixth round (1): No. 180

Seventh round (2): No. 232, No. 245