Atkin-Lehner |
2- 43- 47- |
Signs for the Atkin-Lehner involutions |
Class |
32336l |
Isogeny class |
Conductor |
32336 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16224 |
Modular degree for the optimal curve |
Δ |
-16556032 = -1 · 213 · 43 · 47 |
Discriminant |
Eigenvalues |
2- 2 4 -5 -4 -6 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,-192] |
[a1,a2,a3,a4,a6] |
j |
-117649/4042 |
j-invariant |
L |
1.9155286894273 |
L(r)(E,1)/r! |
Ω |
0.95776434471907 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4042b1 129344x1 |
Quadratic twists by: -4 8 |