Atkin-Lehner |
2- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5168d |
Isogeny class |
Conductor |
5168 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
1608777728 = 218 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 0 4 2 -4 6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2003,34450] |
[a1,a2,a3,a4,a6] |
j |
216973458729/392768 |
j-invariant |
L |
3.0035282070493 |
L(r)(E,1)/r! |
Ω |
1.5017641035246 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
646a1 20672z1 46512bg1 129200bv1 |
Quadratic twists by: -4 8 -3 5 |