Atkin-Lehner |
2- 7+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
52234w |
Isogeny class |
Conductor |
52234 |
Conductor |
∏ cp |
357 |
Product of Tamagawa factors cp |
deg |
902496 |
Modular degree for the optimal curve |
Δ |
809635251748470784 = 217 · 74 · 137 · 41 |
Discriminant |
Eigenvalues |
2- -1 -2 7+ -6 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-240199,-13477059] |
[a1,a2,a3,a4,a6] |
Generators |
[-447:2420:1] [-421:3850:1] |
Generators of the group modulo torsion |
j |
638329991738610577/337207518429184 |
j-invariant |
L |
10.128214428808 |
L(r)(E,1)/r! |
Ω |
0.22885463190524 |
Real period |
R |
0.12396667834028 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52234z1 |
Quadratic twists by: -7 |