Mercury based copper oxide layered high temperature superconductor, which consists of superconductor-insulator-superconductor (SIS) layers, can be considered as a stack of nearly ideal, intrinsic Josephson junctions (IJJ). The SIS junction, where the electrical field is confined, topologically resembles a parallel-plate capacitor. As is known, the coupling between junctions in superconductors is capacitive. Hence, the determination of the specific capacitance (C s) of the IJJ at the superconducting state has a crucial importance in order to give information about superconductivity mechanism. In this study, the C s values of the investigated sample have been calculated by means of the critical current density, J c and plasma frequency, that have been obtained from magnetic measurements taken at the below temperatures than the critical transition temperature, T c. Moreover, C s values at superconducting temperature have been compared to that of the normal temperature.