Atkin-Lehner |
2- 3- 23+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
117576h |
Isogeny class |
Conductor |
117576 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1277687289063168 = -1 · 28 · 316 · 23 · 712 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50655,-4713118] |
[a1,a2,a3,a4,a6] |
j |
-77023487266000/6846318207 |
j-invariant |
L |
1.2665084512217 |
L(r)(E,1)/r! |
Ω |
0.15831355730131 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39192d2 |
Quadratic twists by: -3 |