Where to Download 5.13.7 ESR
Thank you for supporting CiviCRM! You can use this ESR form for members to request a download key.

There is more information in the FAQ on the ESR page.

When we launched Extended Security Releases (ESR) as a service, we were not sure how many people would sign up, so we started handling the requests manually. It seems like it's here to stay, so we are currently working on automating the process.