Atkin-Lehner |
2- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
13858l |
Isogeny class |
Conductor |
13858 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
84672 |
Modular degree for the optimal curve |
Δ |
-7123508826816512 = -1 · 214 · 139 · 41 |
Discriminant |
Eigenvalues |
2- 1 2 -2 2 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-28987,4480657] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:2203:1] |
Generators of the group modulo torsion |
j |
-558051585337/1475821568 |
j-invariant |
L |
8.9912088170808 |
L(r)(E,1)/r! |
Ω |
0.37019170560291 |
Real period |
R |
0.43371393220041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110864m1 124722j1 1066b1 |
Quadratic twists by: -4 -3 13 |