Atkin-Lehner |
2- 11+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
8602c |
Isogeny class |
Conductor |
8602 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
90498707823392 = 25 · 112 · 174 · 234 |
Discriminant |
Eigenvalues |
2- 0 -2 0 11+ -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23836,-1334465] |
[a1,a2,a3,a4,a6] |
Generators |
[-101:237:1] |
Generators of the group modulo torsion |
j |
1497637689328650897/90498707823392 |
j-invariant |
L |
5.371475571743 |
L(r)(E,1)/r! |
Ω |
0.38568361186834 |
Real period |
R |
0.69635776663187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68816k3 77418k3 94622b3 |
Quadratic twists by: -4 -3 -11 |