Atkin-Lehner |
2- 3- 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
127794bo |
Isogeny class |
Conductor |
127794 |
Conductor |
∏ cp |
57 |
Product of Tamagawa factors cp |
Δ |
-1576057259036246016 = -1 · 219 · 3 · 198 · 59 |
Discriminant |
Eigenvalues |
2- 3- -3 2 -3 -1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1640162225185762,-25566914787260342863804] |
[a1,a2,a3,a4,a6] |
j |
-28731302894417980801998466341956078272513/92798976 |
j-invariant |
L |
1.731837236642 |
L(r)(E,1)/r! |
Ω |
0.00037510068536312 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
81 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127794h2 |
Quadratic twists by: -19 |