Atkin-Lehner |
2- 5+ 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
86320n |
Isogeny class |
Conductor |
86320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1079000000000000 = 212 · 512 · 13 · 83 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 4 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-97283,-11571518] |
[a1,a2,a3,a4,a6] |
j |
24858483378233049/263427734375 |
j-invariant |
L |
1.0820026172045 |
L(r)(E,1)/r! |
Ω |
0.27050065608098 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5395a4 |
Quadratic twists by: -4 |