Does this mean that my JAA licence is not valid anymore ?
No. When EASA Licensing was introduced, all JAA Licences were recognised as EASA Licences. Your JAA Licence is valid as if it were an EASA Licence, until it expires.
You can apply to have it physically converted to a non-expiring EASA Licence at any time, so do it sooner rather than later. Just make sure that any Ratings you want to keep are current at the time of the conversion.
MJ