Atkin-Lehner |
2- 3- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
23562z |
Isogeny class |
Conductor |
23562 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
2522858313683828736 = 218 · 311 · 74 · 113 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-955679,-351144057] |
[a1,a2,a3,a4,a6] |
Generators |
[-621:1910:1] |
Generators of the group modulo torsion |
j |
132413384610108715177/3460710992707584 |
j-invariant |
L |
8.9098634997024 |
L(r)(E,1)/r! |
Ω |
0.15293756436022 |
Real period |
R |
3.2365653181467 |
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 |
7854c1 |
Quadratic twists by: -3 |