I am working on a project in which implementation user stories have to go on Jira.
Depends what you mean by “implementation”.
If you mean “rolling out existing software”, then that work can indeed be represented by Stories.
If you mean “programming new software”, then that work can be represented by Tasks (as siblings to associated Stories). But I would instead recommend that such implementation be captured in the Stories themselves (i.e., vertical thin-slicing), in a new custom field called say “Implementation Intention” (during “How” Planning).
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