Atkin-Lehner |
2- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
13858m |
Isogeny class |
Conductor |
13858 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
16227731858 = 2 · 136 · 412 |
Discriminant |
Eigenvalues |
2- -2 2 4 2 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1947,-32657] |
[a1,a2,a3,a4,a6] |
Generators |
[-292006:330663:10648] |
Generators of the group modulo torsion |
j |
169112377/3362 |
j-invariant |
L |
6.6289736819211 |
L(r)(E,1)/r! |
Ω |
0.71958414177647 |
Real period |
R |
9.2122286985868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110864p2 124722n2 82a2 |
Quadratic twists by: -4 -3 13 |