Photoresponsive nematic liquid crystal elastomers (LCEs) containing azobenzene units have potential applications in light-controlled soft actuators. Photo-isomerization of the trans to bent cis azobenzene form disturbs the nematic order, modulating the mechanical properties between soft and entropic elasticity. Controlling and optimizing the modulation range are critical for the application of LCEs. In this study, by investigating a series of photo-LCEs with various phase transition temperatures, which affect the correlation between the scalar nematic local order parameter Q and the mechanical properties, we explore how the thermodynamic properties and operating conditions affect the efficiency of conversion of light energy to mechanical changes. The generation of photostress or photostrain under constant strain or stress, respectively, is maximized when the operating temperature is close to the nematic-isotopic transition temperature of the cis-rich state. Under these conditions, the light-induced change in Q is also maximized, which is further supported by a simple model that considers the light-induced shift of the nonlinear curve of the temperature-dependent Q along the temperature axis. The present results provide useful guidelines for optimizing the materials and operating conditions for the efficient conversion of light energy into mechanical work in photo-LCEs.