In the manuscript, central black hole (BH) mass is estimated in the distant TDE (tidal disruption event) of { \it Swift} J2058.4+0516 as the second candidate of relativistic jet birth related to TDE. { \it Swift} J2058.4+0516 have quite different BH masses estimated through different indirect methods in the literature. Therefore, it is necessary and interesting to determine the central BH mass in { \it Swift} J2058.4+0516 by one another independent method. Here, based on the theoretical TDE model applied to describe the long-term time-dependent X-ray variabilities of { \it Swift} J2058.4+0516, the central BH mass can be well determined to be around $1.05_{ -0.29}^{ +0.39}\times10^5{ \rm M_\odot}$, after kind considerations of suggested intrinsic beaming effects from such relativistic jet tightly related to TDE. Moreover, the { \it Swift} J2058.4+0516 is an unique object in the space of BH masses versus energy transfer efficiencies of the reported TDE candidates, providing interesting clues to detect and/or anticipate candidates of relativistic TDE to make the birth of relativistic jets.
Categories: astro-ph.HE astro-ph.GA