Atkin-Lehner |
2- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111188c |
Isogeny class |
Conductor |
111188 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
919296 |
Modular degree for the optimal curve |
Δ |
194946575642892304 = 24 · 72 · 114 · 198 |
Discriminant |
Eigenvalues |
2- 1 -3 7+ 11- 1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-166902,-15467299] |
[a1,a2,a3,a4,a6] |
Generators |
[481:3971:1] |
Generators of the group modulo torsion |
j |
1892178688/717409 |
j-invariant |
L |
4.7875808528842 |
L(r)(E,1)/r! |
Ω |
0.24384502645668 |
Real period |
R |
0.81807097200907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999885897 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111188i1 |
Quadratic twists by: -19 |