Atkin-Lehner |
2+ 3+ 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
127794h |
Isogeny class |
Conductor |
127794 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-33500430336 = -1 · 219 · 3 · 192 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -3 2 -3 1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4543385665334,3727496962525519956] |
[a1,a2,a3,a4,a6] |
j |
-28731302894417980801998466341956078272513/92798976 |
j-invariant |
L |
0.038934686061287 |
L(r)(E,1)/r! |
Ω |
0.038935973818757 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127794bo2 |
Quadratic twists by: -19 |