Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
86592dn |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
9950857323872256 = 226 · 36 · 112 · 412 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-103617,11872575] |
[a1,a2,a3,a4,a6] |
Generators |
[881:24600:1] |
Generators of the group modulo torsion |
j |
469332926706097/37959508224 |
j-invariant |
L |
10.210653273556 |
L(r)(E,1)/r! |
Ω |
0.39839707768798 |
Real period |
R |
4.2715562948098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003295 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
86592g2 21648q2 |
Quadratic twists by: -4 8 |