Atkin-Lehner |
2+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
55112c |
Isogeny class |
Conductor |
55112 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110208 |
Modular degree for the optimal curve |
Δ |
-434176815834032 = -1 · 24 · 837 |
Discriminant |
Eigenvalues |
2+ -1 0 1 -1 4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22963,-1665352] |
[a1,a2,a3,a4,a6] |
j |
-256000/83 |
j-invariant |
L |
0.76306538719704 |
L(r)(E,1)/r! |
Ω |
0.19076634656304 |
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 |
110224c1 664c1 |
Quadratic twists by: -4 -83 |