Atkin-Lehner |
2+ 3+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
16728a |
Isogeny class |
Conductor |
16728 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
266560 |
Modular degree for the optimal curve |
Δ |
-1924552484117588736 = -1 · 28 · 317 · 175 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -1 0 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1195652,508022964] |
[a1,a2,a3,a4,a6] |
j |
-738411571767936151888/7517783141084331 |
j-invariant |
L |
0.52829624601339 |
L(r)(E,1)/r! |
Ω |
0.26414812300669 |
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 |
33456j1 50184ba1 |
Quadratic twists by: -4 -3 |