Atkin-Lehner |
2+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
7504j |
Isogeny class |
Conductor |
7504 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
367696 = 24 · 73 · 67 |
Discriminant |
Eigenvalues |
2+ 3 3 7- 4 1 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9586,361247] |
[a1,a2,a3,a4,a6] |
j |
6088579813251072/22981 |
j-invariant |
L |
6.0594477129158 |
L(r)(E,1)/r! |
Ω |
2.0198159043053 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3752d1 30016cd1 67536x1 52528s1 |
Quadratic twists by: -4 8 -3 -7 |