Atkin-Lehner |
2- 3- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
86112bj |
Isogeny class |
Conductor |
86112 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
800849866752 = 212 · 37 · 132 · 232 |
Discriminant |
Eigenvalues |
2- 3- -4 2 0 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-76332,-8117120] |
[a1,a2,a3,a4,a6] |
j |
16472372728384/268203 |
j-invariant |
L |
2.2978057274215 |
L(r)(E,1)/r! |
Ω |
0.2872257145586 |
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 |
86112bq2 28704l2 |
Quadratic twists by: -4 -3 |