Atkin-Lehner |
2- 3- 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
56550cj |
Isogeny class |
Conductor |
56550 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
88218000000000 = 210 · 32 · 59 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 6 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16763,-703983] |
[a1,a2,a3,a4,a6] |
j |
266716895453/45167616 |
j-invariant |
L |
8.4883258046159 |
L(r)(E,1)/r! |
Ω |
0.42441629044626 |
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 |
56550p1 |
Quadratic twists by: 5 |