Atkin-Lehner |
2- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
16960q |
Isogeny class |
Conductor |
16960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-22229811200 = -1 · 224 · 52 · 53 |
Discriminant |
Eigenvalues |
2- -1 5- 2 -4 3 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,575,-5023] |
[a1,a2,a3,a4,a6] |
Generators |
[37:256:1] |
Generators of the group modulo torsion |
j |
80062991/84800 |
j-invariant |
L |
4.3242186456197 |
L(r)(E,1)/r! |
Ω |
0.65310038553719 |
Real period |
R |
0.8276328458417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16960d1 4240c1 84800bz1 |
Quadratic twists by: -4 8 5 |