Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72864bg |
Isogeny class |
Conductor |
72864 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
106235712 = 26 · 38 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3045,-64672] |
[a1,a2,a3,a4,a6] |
Generators |
[76:378:1] |
Generators of the group modulo torsion |
j |
66923416000/2277 |
j-invariant |
L |
3.8984541935718 |
L(r)(E,1)/r! |
Ω |
0.64269306999165 |
Real period |
R |
3.0329051102384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002531 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72864w1 24288a1 |
Quadratic twists by: -4 -3 |