This popup used its place wasteful. The quote side(green background) is greater than the form side. The form view should be larger for a popup covering half of the screen. For example, if a person with a middle name or have a lengthy first name could be frustrated with this design.
In mobile however proportions are nice but again with the name box issue. Last name box could be gone below the First Name box to increase flexibility.
Also there could be another way to Login link: rather than moving user to another page, desired action can taken same page. Simply add another phase in the same form. When login is clicked, form goes to second phase where user could add his/her email and password to access.