Atkin-Lehner |
2- 3- 7- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39606v |
Isogeny class |
Conductor |
39606 |
Conductor |
∏ cp |
960 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-327924361007889408 = -1 · 210 · 316 · 73 · 232 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,85002,-25840476] |
[a1,a2,a3,a4,a6] |
Generators |
[240:2778:1] |
Generators of the group modulo torsion |
j |
67922056334466857375/327924361007889408 |
j-invariant |
L |
10.855102819639 |
L(r)(E,1)/r! |
Ω |
0.15349658222738 |
Real period |
R |
0.29466190338245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118818p1 |
Quadratic twists by: -3 |