Atkin-Lehner |
2+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
3752d |
Isogeny class |
Conductor |
3752 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5184 |
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 |
0.96498418160067 |
L(r)(E,1)/r! |
Ω |
0.48249209080033 |
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 |
7504j1 30016f1 33768s1 93800x1 |
Quadratic twists by: -4 8 -3 5 |