Atkin-Lehner |
2- 3+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
111540v |
Isogeny class |
Conductor |
111540 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
18869760 |
Modular degree for the optimal curve |
Δ |
5.5734981992747E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 11- 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-132104145,584350565382] |
[a1,a2,a3,a4,a6] |
j |
115589808288907264/25268203125 |
j-invariant |
L |
2.2825662499685 |
L(r)(E,1)/r! |
Ω |
0.10869362977633 |
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 |
111540a1 |
Quadratic twists by: 13 |