Once you switch to the edit view from the list level, all you have to do is click on the field where you want to enter or edit the value, and the editing mode will start itself.
After entering the value in a given field, you do not have to save it, the value will be saved automatically after placing the cursor on another field.
You can navigate fields by using the arrows on your keyboard (up, down, right, left). You can move to the next pages of the list using the arrows visible on the dark blue bar, visible above the edited table:
While editing, you can also use the Ctrl C and Ctrl V shortcuts to copy values from a given field and paste them in other fields of the table.