Atkin-Lehner |
2+ 5- 11+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121550s |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
160000 |
Modular degree for the optimal curve |
Δ |
-277727164000 = -1 · 25 · 53 · 11 · 135 · 17 |
Discriminant |
Eigenvalues |
2+ 2 5- -3 11+ 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-665,25925] |
[a1,a2,a3,a4,a6] |
j |
-260794641869/2221817312 |
j-invariant |
L |
1.6727486947083 |
L(r)(E,1)/r! |
Ω |
0.8363740191443 |
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 |
121550cb1 |
Quadratic twists by: 5 |