Atkin-Lehner |
3+ 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
4515a |
Isogeny class |
Conductor |
4515 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
423360826875 = 38 · 54 · 74 · 43 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ -4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-143416,-20964466] |
[a1,a2,a3,a4,a6] |
j |
326224607904438542209/423360826875 |
j-invariant |
L |
0.49065944924828 |
L(r)(E,1)/r! |
Ω |
0.24532972462414 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72240cr4 13545k4 22575n4 31605bb4 |
Quadratic twists by: -4 -3 5 -7 |