I have a WordPress site for which I wish to force all pages to go to https and non-www

So I want following redirection.

http://example.com --> https://example.com
www.example.com --> https://example.com
http://example.com/abcd --> https://example.com/abcd
www.example.com/abcd --> https://example.com/abcd

I have following code in my .htaccess file

    # BEGIN WordPress
    <IfModule mod_rewrite.c>
    RewriteEngine On

    RewriteEngine On
    RewriteCond %{HTTPS} off [OR]
    RewriteCond %{HTTP_HOST} ^www\. [NC]
    RewriteCond %{HTTP_HOST} ^(?:www\.)?(.+)$ [NC]
    RewriteRule ^ https://%1%{REQUEST_URI} [L,NE,R=301]

    RewriteBase /
    RewriteRule ^index\.php$ - [L]
    RewriteCond %{REQUEST_FILENAME} !-f
    RewriteCond %{REQUEST_FILENAME} !-d
    RewriteRule . /index.php [L]
    </IfModule>
    # END WordPress

The problem is that it only redirects the home page correctly, for inner pages I get a Page not Found/Site cannot be reached error.