Atkin-Lehner |
2- 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
16592a |
Isogeny class |
Conductor |
16592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-288833536 = -1 · 214 · 172 · 61 |
Discriminant |
Eigenvalues |
2- 0 1 1 1 -5 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-107,922] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:34:1] |
Generators of the group modulo torsion |
j |
-33076161/70516 |
j-invariant |
L |
5.062497086083 |
L(r)(E,1)/r! |
Ω |
1.5391057646362 |
Real period |
R |
0.82231143603047 |
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 |
2074b1 66368d1 |
Quadratic twists by: -4 8 |