The data set contains the source codes for two command line programs to compute the numerical values of the central L-values of the L-functions of elliptic curves twisted by primitive Dirichlet characters and their related arithmetic values. twists-main.zip contains two command line programs: twists_clve and twists_ailve. They can be used to calculate the values of the dataset. twists_clve_data.zip contains the E_k_X_central_l_values.npz files including the arithmetic values of those central L-values. twists_ailve_data.zip contains the E_k_X_alg_int_l_values.zip files including the arithmetic values of their algebraic and integer values. One can unzip them on your local system and read the data directly with twists_ailve on SageMath. For more detailed and updated information regarding the dataset, consult the author's GitHub repository or personal website. Author's personal website: https://jbnam.github.io/ GitHub repository: https://github.com/jbnam/twists