Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86640dd |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.1895559290925E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -6 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-154124016,-734647036716] |
[a1,a2,a3,a4,a6] |
Generators |
[-160120225581801984803135800930686564:-660235685405141671453559348734478750:21706054931018006267967478183149] |
Generators of the group modulo torsion |
j |
306331959547531/900000000 |
j-invariant |
L |
8.9781515921318 |
L(r)(E,1)/r! |
Ω |
0.0428557080858 |
Real period |
R |
52.374304364902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954283 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10830s2 86640bu2 |
Quadratic twists by: -4 -19 |