Atkin-Lehner |
2- 3- 11+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
118404a |
Isogeny class |
Conductor |
118404 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
786170827728 = 24 · 310 · 112 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11+ 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5340,-144011] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:54:1] |
Generators of the group modulo torsion |
j |
1443776512000/67401477 |
j-invariant |
L |
5.8675960806619 |
L(r)(E,1)/r! |
Ω |
0.56010358832982 |
Real period |
R |
2.6189780544953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000096023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39468k1 |
Quadratic twists by: -3 |