1. A network communication apparatus, comprising: a network port connectable to a telephone line; a communicator that communicates with an external apparatus via the telephone line; and processing circuitry that causes the network communication apparatus to: execute shutdown processing for stopping supply of electric power to the network communication apparatus when an auto-shutdown shifting time period elapses without receiving a user's operation; detect whether or not the network port is connected to the telephone line; determine whether or not the shutdown processing is enabled; and display, when it is detected that the network port is changed from a state of not being connected to the telephone line to a state of being connected to the telephone line, a selection screen for prompting a user to select whether or not to execute the shutdown processing.