Atkin-Lehner |
2- 5- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
26680g |
Isogeny class |
Conductor |
26680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
54528 |
Modular degree for the optimal curve |
Δ |
59925781250000 = 24 · 512 · 232 · 29 |
Discriminant |
Eigenvalues |
2- 0 5- 0 -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10322,155589] |
[a1,a2,a3,a4,a6] |
j |
7601429879986176/3745361328125 |
j-invariant |
L |
1.6622759810886 |
L(r)(E,1)/r! |
Ω |
0.55409199369634 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
53360g1 |
Quadratic twists by: -4 |