Specific heat and latent heat are two different things. Are you supposed to find both of them?
Edit: just noticed that the unit, J/kg, is for latent heat. "Specific heat" and "heat capacity" are both equivalent shorter phreases for "specific heat capacity." I have never heard the use of the term "Specific Latent heat" but I'll not go out on a limb and say it's "wrong." It sure sounds funny though.
No matter how you find them, even without a calorimeter, you need mass-scale, a heater, a thermometer, and a stopwatch.