Atkin-Lehner |
2- 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
16592b |
Isogeny class |
Conductor |
16592 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-108933428198656 = -1 · 28 · 178 · 61 |
Discriminant |
Eigenvalues |
2- 0 -3 -1 -3 1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,241,502154] |
[a1,a2,a3,a4,a6] |
Generators |
[-21602:167042:343] |
Generators of the group modulo torsion |
j |
6046929072/425521203901 |
j-invariant |
L |
2.9329806720297 |
L(r)(E,1)/r! |
Ω |
0.46998546895502 |
Real period |
R |
3.1202886746169 |
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 |
4148a1 66368e1 |
Quadratic twists by: -4 8 |