I only see that the Summary is editable but that doesn't update the epic link text.
Have a read:
Reference: https://confluence.atlassian.com/agile/jira-agile-user-s-guide/working-with-epics/editing-or-renaming-an-epic
This is not a Scrum job, unfortunately, so this won't work. Also, I am on JIRA 7 Server.
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