Atkin-Lehner |
2- 3- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
128832bo |
Isogeny class |
Conductor |
128832 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1053544808448 = 217 · 32 · 114 · 61 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-93857,11036127] |
[a1,a2,a3,a4,a6] |
Generators |
[140705:4563636:125] |
Generators of the group modulo torsion |
j |
697619189976914/8037909 |
j-invariant |
L |
10.376999731389 |
L(r)(E,1)/r! |
Ω |
0.79351569028082 |
Real period |
R |
6.5386229148238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999806344 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
128832d4 32208a4 |
Quadratic twists by: -4 8 |