Atkin-Lehner |
2- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
110864r |
Isogeny class |
Conductor |
110864 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-30254342144 = -1 · 213 · 133 · 412 |
Discriminant |
Eigenvalues |
2- 1 -1 1 0 13- -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1096,-16652] |
[a1,a2,a3,a4,a6] |
Generators |
[108:1066:1] |
Generators of the group modulo torsion |
j |
-16194277/3362 |
j-invariant |
L |
6.6952470434718 |
L(r)(E,1)/r! |
Ω |
0.41027110722016 |
Real period |
R |
1.0199424964861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006889 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13858e1 110864u1 |
Quadratic twists by: -4 13 |