Atkin-Lehner |
2- 31- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
16616c |
Isogeny class |
Conductor |
16616 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-2056260141424 = -1 · 24 · 315 · 672 |
Discriminant |
Eigenvalues |
2- 0 -1 3 -2 -4 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1957,60411] |
[a1,a2,a3,a4,a6] |
Generators |
[158:2077:1] |
Generators of the group modulo torsion |
j |
51805540175616/128516258839 |
j-invariant |
L |
4.5696330139862 |
L(r)(E,1)/r! |
Ω |
0.57760087501499 |
Real period |
R |
0.39557012563975 |
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 |
33232a1 |
Quadratic twists by: -4 |