  In this work, we investigate the shadow cast and strong field gravitational
lensing of a new class of black hole solutions in dilaton gravity where dilaton
field is coupled with nonlinear Maxwell invariant [Younesizadeh et al. in Int J
Mod Phys A 34(35):1950239]. The space-time is a stationary axisymmetric
geometry. The key part in our investigations is finding the effect of dilaton
parameter N on the size of shadows and the energy emission rate. As the N
parameter increases, the size of black hole shadow increases. Also, the energy
emission rate increases with increase in the dilaton parameter N. By supposing
the gravitational field of the supermassive object at the heart of Milky Way
galaxy described by this metric, we estimated the numerical values of the
observables for gravitational lensing in the strong field limit.
