1/27/2020 was the official date the IRS open up their e-file system.  So the 1/27/2020 date is when the IRS received your return.  TurboTax let you e-file early but had to keep your return on their servers until the IRS opened their system.

The IRS states that nine out of 10 e-filed tax returns with direct deposit will be processed within 21 days of IRS e-file acceptance. Mailed paper returns: If you filed a paper return, please allow 4 weeks before checking the status. Refund processing time is 6 to 8 weeks from the date the IRS receives your tax return.

You ca checked the IRS website Where's My Refund for your information?

https://www.irs.gov/refunds

Also, see the following from the IRS for refund information.

2020 Income Tax Refund Chart Shows When You'll Get Your IRS Refund

https://www.cpapracticeadvisor.com/tax-compliance/news/21121511/2020-income-tax-refund-chart-shows-w...