Under the dual-carbon goal and the ongoing development of a new-type power system, greater flexibility challenges are imposed on power system operation by the large-scale integration of electric vehicles (EVs), and the adjustable potential of EV resources therefore needs to be further exploited. To address the coordinated optimization problem of charging point operators (CPO) participating in coupled energy and frequency regulation markets, a bilevel scheduling model is established. In the upper level, CPO profit maximization is pursued, with electricity trading revenue, frequency regulation capacity compensation, mileage compensation, and operating cost all being considered. In the lower level, total system operating cost minimization is achieved through the joint clearing of the energy market and the frequency regulation market. The bilevel model is then transformed into a mixed-integer linear programming problem by introducing karush-kuhn-tucker conditions and linearization techniques, and case studies are conducted on the IEEE 30-bus system. The results show that only a limited proportion of bids is cleared in the energy market, whereas more than 70% of the regulation tasks are undertaken by the CPO in the frequency regulation market. As a result, operating costs are effectively covered and positive net benefits are obtained. Effective coordination between resource allocation and price formation in the coupled markets is also achieved by the proposed strategy. Both the economic performance of the CPO and the flexibility support capability of the power system are thereby improved. A feasible theoretical basis and methodological support are thus provided for the cross-market optimal operation of aggregated EV resources.