Atkin-Lehner |
2- 3- 5+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
126540k |
Isogeny class |
Conductor |
126540 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-24209475890400000 = -1 · 28 · 316 · 55 · 19 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 1 -6 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192288,33306788] |
[a1,a2,a3,a4,a6] |
Generators |
[76:4374:1] |
Generators of the group modulo torsion |
j |
-4213206693707776/129723271875 |
j-invariant |
L |
5.0851855228367 |
L(r)(E,1)/r! |
Ω |
0.37707585847479 |
Real period |
R |
1.1238202005852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998425877 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42180d1 |
Quadratic twists by: -3 |