Atkin-Lehner |
2- 3- 29- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
82128bb |
Isogeny class |
Conductor |
82128 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
109824 |
Modular degree for the optimal curve |
Δ |
129176174592 = 223 · 32 · 29 · 59 |
Discriminant |
Eigenvalues |
2- 3- -2 4 3 1 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1264,212] |
[a1,a2,a3,a4,a6] |
j |
54569318257/31537152 |
j-invariant |
L |
3.535086298943 |
L(r)(E,1)/r! |
Ω |
0.88377157531436 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10266f1 |
Quadratic twists by: -4 |