Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54080cx |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
20882706457600 = 210 · 52 · 138 |
Discriminant |
Eigenvalues |
2- 1 5- 1 3 13+ -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20505,-1115425] |
[a1,a2,a3,a4,a6] |
Generators |
[-1093834:1184503:12167] |
Generators of the group modulo torsion |
j |
1141504/25 |
j-invariant |
L |
8.392905171632 |
L(r)(E,1)/r! |
Ω |
0.39949524470226 |
Real period |
R |
10.504386826849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999443 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54080bl1 13520q1 54080ca1 |
Quadratic twists by: -4 8 13 |