Atkin-Lehner |
2- 5+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61360h |
Isogeny class |
Conductor |
61360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3161088 |
Modular degree for the optimal curve |
Δ |
-4.1239128553418E+21 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 -5 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1994784,-2893787584] |
[a1,a2,a3,a4,a6] |
j |
214314312209315595551/1006814661948671875 |
j-invariant |
L |
1.1193736542516 |
L(r)(E,1)/r! |
Ω |
0.069960853464541 |
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 |
3835a1 |
Quadratic twists by: -4 |