Atkin-Lehner |
2+ 3+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
23226j |
Isogeny class |
Conductor |
23226 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
7345002131712 = 28 · 32 · 79 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-26877,1679805] |
[a1,a2,a3,a4,a6] |
Generators |
[83:130:1] |
Generators of the group modulo torsion |
j |
18251690409289/62431488 |
j-invariant |
L |
2.0349167496715 |
L(r)(E,1)/r! |
Ω |
0.74688031985787 |
Real period |
R |
0.68113883026759 |
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 |
69678bu1 3318g1 |
Quadratic twists by: -3 -7 |