Cloud storage is considered to be the most critical factor in decision making for users as it largely scales down the infrastructure in terms of size, cost and design. Considering factors such as local storage c ost, maintenance a single server model can support multi ple users on a needed basis. This raises concerns f or integrity verification i.e., assuring the correctne ss of the data stored available in cloud. The propo sed auditing algorithm suggests and investigates digita l signature for integrity verification. A Modified Version of Elliptic curve digital Signature Algorit hm is proposed for auditing the task. The main focu s of this study is to address problems such as privacy p reserving, public auditing. In addition, the perfor mance of the auditing task is optimized. Data dynamics ha ve been modeled through various data operations suc h as block insertion, deletion and block modification . Extensive theoretical and experimental analysis presented in the paper shows that security, perform ance of the proposed algorithm are improved in term s of verification time of the auditing process.