What is the Nilearn equivalent of SPM con_ files?

I found this post about con_ and spmT_ files from SPM, which also outputs beta_ files for each contrast.

I want to compare SPM and Nilearn results, specifically glm.first_level.first_level_from_bids(), which outputs stat-{effect,errorts,p,rsquared,t,variance,z} files.

Which files should I be comparing between software suites?