Atkin-Lehner |
2+ 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
39762d |
Isogeny class |
Conductor |
39762 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2.9370460136109E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 4 4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-179386677,-924724390775] |
[a1,a2,a3,a4,a6] |
Generators |
[687741887583404692616626820639395:-16808980364279398497033854621929052:43740246842735984188472812625] |
Generators of the group modulo torsion |
j |
782503013375/36 |
j-invariant |
L |
4.3669773645603 |
L(r)(E,1)/r! |
Ω |
0.041252664951108 |
Real period |
R |
52.929639451608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13254d2 39762e2 |
Quadratic twists by: -3 -47 |