If you aren’t logged into Twitter, you’ll need to enter your email address (or Twitter name, or phone number) and password in the upper-right side of the page and then click Log in.
You will still receive security alerts and other urgent emails from Twitter, but other users’ activity won’t get pushed to your email address anymore.
The push notifications act as alerts on your computer, so turning this off will disable those alerts.
All the notifications you get from Twitter will be muted or turned off after you’ve done this.
You also won’t see a red icon with a number next to it on the Twitter app icon when you have unopened Twitter notifications.
You can also open Settings by swiping down from the top of the screen and tapping the gear icon near the top of the resulting drop-down menu.