Atkin-Lehner |
2- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
125840bc |
Isogeny class |
Conductor |
125840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
13685760 |
Modular degree for the optimal curve |
Δ |
-5.8272579258614E+23 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 11+ 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29805083,-72604689718] |
[a1,a2,a3,a4,a6] |
Generators |
[874629952926763:5348494878783056:136034659207] |
Generators of the group modulo torsion |
j |
-303180038976339/60335112500 |
j-invariant |
L |
6.7201322954841 |
L(r)(E,1)/r! |
Ω |
0.031964152338905 |
Real period |
R |
17.51997107123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005887 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15730r1 125840bb1 |
Quadratic twists by: -4 -11 |