Atkin-Lehner |
2- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
57232h |
Isogeny class |
Conductor |
57232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
35177992192 = 212 · 76 · 73 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 2 6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-931,-6174] |
[a1,a2,a3,a4,a6] |
Generators |
[65:456:1] |
Generators of the group modulo torsion |
j |
185193/73 |
j-invariant |
L |
5.3772687290526 |
L(r)(E,1)/r! |
Ω |
0.89400728049943 |
Real period |
R |
3.007396497855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000355 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3577a1 1168a1 |
Quadratic twists by: -4 -7 |