Atkin-Lehner |
2- 3- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
35376bb |
Isogeny class |
Conductor |
35376 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
73419067392 = 212 · 3 · 113 · 672 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11- 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1688,22740] |
[a1,a2,a3,a4,a6] |
Generators |
[12:66:1] |
Generators of the group modulo torsion |
j |
129938649625/17924577 |
j-invariant |
L |
7.582253114342 |
L(r)(E,1)/r! |
Ω |
1.0497572068458 |
Real period |
R |
1.2038105993931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2211a1 106128bd1 |
Quadratic twists by: -4 -3 |