Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160w |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
173425950720 = 217 · 37 · 5 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 11- -5 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21281,-1187679] |
[a1,a2,a3,a4,a6] |
j |
67208610722/10935 |
j-invariant |
L |
0.79055806394039 |
L(r)(E,1)/r! |
Ω |
0.3952793131229 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160hz1 14520x1 116160y1 |
Quadratic twists by: -4 8 -11 |