Atkin-Lehner |
2- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83600bg |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-574750000 = -1 · 24 · 56 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 11+ -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,67,1112] |
[a1,a2,a3,a4,a6] |
j |
131072/2299 |
j-invariant |
L |
2.4366890103882 |
L(r)(E,1)/r! |
Ω |
1.2183445490306 |
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 |
20900e1 3344f1 |
Quadratic twists by: -4 5 |