How to write jest test cases for navigation in react - enzyme

Question

I am new to Jest test cases writing, Trying to write the test case for checking navigation in an react application.
Currently I have written test case which works like below:
I have Login page which is having register link on it, which redirects user to the Register page. So what I am checking is
1. Loading the login page
2. Triggered Register link click event
3. So user moved to the Register page
but I am not able to check if the Register page is loaded or not? Is there any way to check the snapshot of the "Register" page and link in URL.
I have used jest, enzyme and react-test-render as shown in below code.
Login Page Html
<React.Fragment>
<BodyContainer noDrawer fullSpan>
<Grid container spacing={0} className={classes.gridContainer}>
<Grid item xs={12} md={6} lg={7} className="login--form">
<div className="login--form--container">
<img src={LogoPurple} alt="ABL" className="onboarding-logo" />
<h3>Welcome back! Please login to your account.</h3>
{error ? <p>{error}</p> : null}
<Field name="email" component={renderTextField} label="Email" style={styles.formField}/>
<Field name="password" component={renderTextField} label="Password" style={styles.formField} />
<Field name="rememberMe" component={renderCheckbox} label="Remember Me" />
<div className="has-spacing">
<Button variant="raised" size="large" color="primary" className="extraLarge" type="submit" onClick={this.handleSubmit}>
Login
</Button>
</div>
<Link to="forgot-password">Forgot Password</Link>
<p className="need-account">
Need an account?
<Link to="/register">
<strong> Sign up</strong>
</p>
</Link>
<LegalLinks />
</div>
</Grid>
</Grid>
</BodyContainer>
</React.Fragment>
In above code register is the link used to navigate.
thanks in advance...