Atkin-Lehner |
2+ 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
1738b |
Isogeny class |
Conductor |
1738 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
601094928071655424 = 232 · 116 · 79 |
Discriminant |
Eigenvalues |
2+ 3 1 1 11+ 5 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-210500299,1175564956997] |
[a1,a2,a3,a4,a6] |
j |
1031530003248877226947940527881/601094928071655424 |
j-invariant |
L |
2.8433464568538 |
L(r)(E,1)/r! |
Ω |
0.17770915355336 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13904i1 55616q1 15642i1 43450s1 |
Quadratic twists by: -4 8 -3 5 |