Atkin-Lehner |
2- 3- 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
65550ce |
Isogeny class |
Conductor |
65550 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
80547840000000 = 218 · 32 · 57 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 2 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13938,-464508] |
[a1,a2,a3,a4,a6] |
j |
19164920149081/5155061760 |
j-invariant |
L |
8.0680951869551 |
L(r)(E,1)/r! |
Ω |
0.44822751016675 |
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 |
13110e1 |
Quadratic twists by: 5 |