Atkin-Lehner |
2- 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
16080q |
Isogeny class |
Conductor |
16080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
2963865600 = 216 · 33 · 52 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-496,3520] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:32:1] |
Generators of the group modulo torsion |
j |
3301293169/723600 |
j-invariant |
L |
4.1182616444716 |
L(r)(E,1)/r! |
Ω |
1.3461070599642 |
Real period |
R |
1.5296932045588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2010i1 64320cp1 48240cc1 80400dc1 |
Quadratic twists by: -4 8 -3 5 |