Atkin-Lehner |
2- 3+ 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
49296r |
Isogeny class |
Conductor |
49296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
93312 |
Modular degree for the optimal curve |
Δ |
42392755372032 = 221 · 39 · 13 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 0 13- -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10608,-277056] |
[a1,a2,a3,a4,a6] |
Generators |
[296:4736:1] |
Generators of the group modulo torsion |
j |
32233334640625/10349793792 |
j-invariant |
L |
5.6247240414561 |
L(r)(E,1)/r! |
Ω |
0.48238728359875 |
Real period |
R |
2.9150457696077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999782 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6162q1 |
Quadratic twists by: -4 |