  In this work, we explore the recently proposed new Tsallis agegraphic dark
energy model in a flat FLRW Universe by taking the conformal time as IR cutoff
with interaction. The deceleration parameter of the interacting new Tsallis
agegraphic dark energy model provides the phase transition of the Universe from
decelerated to accelerated phase. The EoS parameter of the model shows a rich
behaviour as it can be quintessence-like or phantom-like depending on the
interaction ($b^2$) and parameter $B$. The evolutionary trajectories of the
statefinder parameters and $(\omega_D, \omega_D^{'})$ planes are plotted by
considering the initial condition $\Omega_{D}^{0} =0.73$, $H_{0}= 67$ according
to $\Lambda$CDM observational Planck 2018 data for different $b^2$ and $B$. The
model shows both quintessence and Chaplygin gas behaviour in the statefinder
$(r, s)$ and $(r, q)$ pair planes for different $b^2$ and $B$.
