Atkin-Lehner |
2- 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090cn |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
565248 |
Modular degree for the optimal curve |
Δ |
-756484117814460 = -1 · 22 · 3 · 5 · 7 · 239 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,18504,-899844] |
[a1,a2,a3,a4,a6] |
j |
389017/420 |
j-invariant |
L |
4.3734252960652 |
L(r)(E,1)/r! |
Ω |
0.27333909376918 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111090dl1 |
Quadratic twists by: -23 |