Atkin-Lehner |
2+ 3+ 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
79680l |
Isogeny class |
Conductor |
79680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
26736171417600 = 232 · 3 · 52 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -6 -6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13985,590625] |
[a1,a2,a3,a4,a6] |
Generators |
[115:700:1] |
Generators of the group modulo torsion |
j |
1153990560169/101990400 |
j-invariant |
L |
4.2788641058721 |
L(r)(E,1)/r! |
Ω |
0.65094836155856 |
Real period |
R |
3.2866386646383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960491 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79680bx1 2490f1 |
Quadratic twists by: -4 8 |