Atkin-Lehner |
7+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
111853b |
Isogeny class |
Conductor |
111853 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
89280 |
Modular degree for the optimal curve |
Δ |
-658478611 = -1 · 72 · 19 · 294 |
Discriminant |
Eigenvalues |
2 2 1 7+ -5 4 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-280,-2095] |
[a1,a2,a3,a4,a6] |
j |
-3444736/931 |
j-invariant |
L |
4.6021874065208 |
L(r)(E,1)/r! |
Ω |
0.57527354360549 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111853e1 |
Quadratic twists by: 29 |