Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54080dc |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
522067661440000 = 210 · 54 · 138 |
Discriminant |
Eigenvalues |
2- -1 5- -5 -5 13+ -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20505,-255503] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:-845:1] |
Generators of the group modulo torsion |
j |
1141504/625 |
j-invariant |
L |
2.2440015601732 |
L(r)(E,1)/r! |
Ω |
0.42623538829377 |
Real period |
R |
0.43872502177603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000189 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54080bj1 13520p1 54080ce1 |
Quadratic twists by: -4 8 13 |