Atkin-Lehner |
5+ 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
55825i |
Isogeny class |
Conductor |
55825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
998400 |
Modular degree for the optimal curve |
Δ |
-4399883028857421875 = -1 · 511 · 710 · 11 · 29 |
Discriminant |
Eigenvalues |
2 1 5+ 7+ 11- 1 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,197742,-95009981] |
[a1,a2,a3,a4,a6] |
j |
54726573463506944/281592513846875 |
j-invariant |
L |
3.9481745987845 |
L(r)(E,1)/r! |
Ω |
0.12338045621456 |
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 |
11165h1 |
Quadratic twists by: 5 |