Atkin-Lehner |
3+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
114873a |
Isogeny class |
Conductor |
114873 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
124320 |
Modular degree for the optimal curve |
Δ |
54348828633 = 37 · 112 · 593 |
Discriminant |
Eigenvalues |
1 3+ 2 0 11+ -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2904,57987] |
[a1,a2,a3,a4,a6] |
Generators |
[1076:7107:64] |
Generators of the group modulo torsion |
j |
13194446147/264627 |
j-invariant |
L |
5.7649947358013 |
L(r)(E,1)/r! |
Ω |
1.1193846821308 |
Real period |
R |
5.1501461481524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004653 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114873e1 |
Quadratic twists by: -59 |