Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680dl |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4792320 |
Modular degree for the optimal curve |
Δ |
1.6987816997429E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 0 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33372408,-74201711393] |
[a1,a2,a3,a4,a6] |
Generators |
[-2503997447139106060706:-1147700562919890696243:749518938417171896] |
Generators of the group modulo torsion |
j |
352402381449896711028736/14564314984078125 |
j-invariant |
L |
6.6038616177127 |
L(r)(E,1)/r! |
Ω |
0.062813608811722 |
Real period |
R |
26.283562361277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000535 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21420n1 28560dq1 |
Quadratic twists by: -4 -3 |