Atkin-Lehner |
2+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54080bp |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
5140358512640 = 214 · 5 · 137 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 2 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13745,-615185] |
[a1,a2,a3,a4,a6] |
j |
3631696/65 |
j-invariant |
L |
1.7656006575481 |
L(r)(E,1)/r! |
Ω |
0.44140016457315 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54080dd1 6760c1 4160c1 |
Quadratic twists by: -4 8 13 |