Atkin-Lehner |
2- 3- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
32868g |
Isogeny class |
Conductor |
32868 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
182784 |
Modular degree for the optimal curve |
Δ |
-22003896900877056 = -1 · 28 · 323 · 11 · 83 |
Discriminant |
Eigenvalues |
2- 3- 1 2 11- -2 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-174432,-28934588] |
[a1,a2,a3,a4,a6] |
Generators |
[10917:1139809:1] |
Generators of the group modulo torsion |
j |
-3145101744799744/117904968819 |
j-invariant |
L |
6.51744822459 |
L(r)(E,1)/r! |
Ω |
0.11654899826336 |
Real period |
R |
9.3200403860231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10956b1 |
Quadratic twists by: -3 |