Atkin-Lehner |
2+ 3- 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
20178i |
Isogeny class |
Conductor |
20178 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
37918079188992 = 218 · 37 · 19 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 0 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-35667,2584629] |
[a1,a2,a3,a4,a6] |
j |
6883396367640625/52013826048 |
j-invariant |
L |
2.6081387440432 |
L(r)(E,1)/r! |
Ω |
0.65203468601079 |
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 |
6726h1 |
Quadratic twists by: -3 |