Atkin-Lehner |
2+ 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
86112h |
Isogeny class |
Conductor |
86112 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
800849866752 = 212 · 37 · 132 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 0 13+ 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24060,-1435808] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:9:1] |
Generators of the group modulo torsion |
j |
515849608000/268203 |
j-invariant |
L |
6.1084423988456 |
L(r)(E,1)/r! |
Ω |
0.38334446891153 |
Real period |
R |
1.9918255291629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002807 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86112x2 28704q2 |
Quadratic twists by: -4 -3 |