Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960bn |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
8478720 |
Modular degree for the optimal curve |
Δ |
-1.5298028170484E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -2 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6136224,1085458176] |
[a1,a2,a3,a4,a6] |
Generators |
[66:38610:1] |
Generators of the group modulo torsion |
j |
3463512697/2073600 |
j-invariant |
L |
3.2071588654174 |
L(r)(E,1)/r! |
Ω |
0.076133469803525 |
Real period |
R |
5.2656848151556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000057562 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15870bj1 126960ce1 |
Quadratic twists by: -4 -23 |