Atkin-Lehner |
2+ 3- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
72216c |
Isogeny class |
Conductor |
72216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
11043848448 = 28 · 36 · 17 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-759,-6262] |
[a1,a2,a3,a4,a6] |
Generators |
[-2605:2808:125] |
Generators of the group modulo torsion |
j |
259108432/59177 |
j-invariant |
L |
8.6136378439926 |
L(r)(E,1)/r! |
Ω |
0.92449711794433 |
Real period |
R |
4.658553108107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994446 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8024n1 |
Quadratic twists by: -3 |