There are no e-file charges when using the TurboTax online editions, federal or state.
The TurboTax account fee are for the use of the software to assist in completing a tax return. The account fees are the same whether the tax return is e-filed or printed.
https://turbotax.intuit.com/personal-taxes/online/
Premier online edition - $70
A State tax return is an additional charge of $40 when using the Deluxe online edition or higher.