The conductivity values are the four entries of the ROYCO 602 data sheet: 1.26, 1.21, 1.12 and 1.02 cal/(hr·cm·°C) at −17.8, 37.8, 149 and 260 °C. In SI units that is 0.146, 0.141, 0.130 and 0.119 W/(m·K). The AeroShell Fluid 602 listing repeats the table and names a heat probe method. They are manufacturer typical values for one product. No government or journal measurement was found.
The curve is the straight line k = 0.14463 -9.962e-05·T W/(m·K). It is solid from −17.8 to 260 °C and dashed below. The conductivity falls slowly as the fluid warms, which is normal for a hydrocarbon oil.
MIL-PRF-87252D Table III lists its own typical values: 4.5×10−4, 3.8×10−4 and 3.0×10−4 cal·cm/(s·cm²·°C) at −40, 0 and 150 °C, which is 0.188, 0.159 and 0.126 W/(m·K). At −40 °C that is about 27 % above the sheet-fit extrapolation. We do not know which is closer to the truth, so both are shown and neither is adjusted. Use density and specific heat with these values to get the thermal diffusivity.