Abstract. -The low-temperature specific heat of La2−xSrxCuO4 (LSCO) single crystals in magnetic field H up to 12 T has been examined over a wide range of doping (0.063 ≤ p ≤ 0.238). From this we have mapped the upper critical field Hc2 of LSCO across the entire superconducting diagram. It is found that the Hc2 shows a doping dependence similar to that of the critical temperature Tc. We have discussed the implications of the result and proposed that there may be an effective superconducting energy scale responsible for the Hc2 behavior in the underdoped region.Introduction. -Determining the fundamental parameters of the superconducting state in high-T c cuprates is crucial to understanding the nature of the hightemperature superconductivity. The upper critical field H c2 is one such quantity which is directly correlated with the microscopic coherence length ξ. Convenient methods for determining H c2 mainly come from the resistive transport or magnetization measurements. For conventional low-T c superconductors, their low or moderate H c2 enables one to draw the line of H c2 (T ) in the fieldtemperature phase diagram from the critical temperature T c to T → 0 K with the application of the magnetic field H to suppress the superconductivity. Hence the zerotemperature H c2 (0) can be accurately accessed. Moreover, it is shown that the temperature dependence of H c2 (T ) in these systems can be well described by the WerthamerHelfand-Hohenberg (WHH) theory [1]. According to this theory, the H c2 (0) can be estimated by the slope dH c2 /dT in the vicinity of T c . Therefore in many cases through investigating the behavior of H c2 (T ) near T c one can also satisfactorily obtain the H c2 (0) of the sample.In contrast, for high-T c cuprates the H c2 (0) is inherently huge in parallel with their high T c . In most cases the superconductivity could be removed only with very intense magnetic field H, which is not always accessible in experiments [2]. Thus most determination of H c2 (0) in high-T c cuprates relies on the extrapolation of the high-