Atkin-Lehner |
2+ 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
86112o |
Isogeny class |
Conductor |
86112 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
37539837504 = 26 · 38 · 132 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1821,-28420] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:36:1] [412:8316:1] |
Generators of the group modulo torsion |
j |
14313506752/804609 |
j-invariant |
L |
10.481805189391 |
L(r)(E,1)/r! |
Ω |
0.73340177144912 |
Real period |
R |
7.1460184564283 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999891 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
86112bg1 28704o1 |
Quadratic twists by: -4 -3 |