Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
86592dn |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
209199267053568 = 234 · 33 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21697,-1021633] |
[a1,a2,a3,a4,a6] |
Generators |
[15268:174525:64] |
Generators of the group modulo torsion |
j |
4309261738417/798031872 |
j-invariant |
L |
10.210653273556 |
L(r)(E,1)/r! |
Ω |
0.39839707768798 |
Real period |
R |
8.5431125896196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003295 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86592g1 21648q1 |
Quadratic twists by: -4 8 |