Documentation for JIRA 4.1. Documentation for other versions of JIRA is available too. 
To remove the 'Remember my login on this computer' option on the login page, follow the instructions below:
Option 1
The checkbox can be disabled by setting the 'jira.option.allowcookies' property to 'false' in WEB-INF/classes/jira-application.properties file. After that, a restart of JIRA is required in order for the changes to take effect.
Option 2
Edit the ./atlassian-jira/includes/loginform.jsp file.
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