Atkin-Lehner |
2- 5- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
8710j |
Isogeny class |
Conductor |
8710 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
55468916738560 = 29 · 5 · 136 · 672 |
Discriminant |
Eigenvalues |
2- 0 5- 4 4 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10587,-215029] |
[a1,a2,a3,a4,a6] |
j |
131221196419777281/55468916738560 |
j-invariant |
L |
4.3992403103933 |
L(r)(E,1)/r! |
Ω |
0.48880447893259 |
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 |
69680y2 78390j2 43550g2 113230a2 |
Quadratic twists by: -4 -3 5 13 |