Atkin-Lehner |
2+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
13858a |
Isogeny class |
Conductor |
13858 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
136990554361856 = 212 · 138 · 41 |
Discriminant |
Eigenvalues |
2+ 0 2 0 0 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-28001,1720317] |
[a1,a2,a3,a4,a6] |
Generators |
[-338:13619:8] |
Generators of the group modulo torsion |
j |
503028912177/28381184 |
j-invariant |
L |
3.8191825016478 |
L(r)(E,1)/r! |
Ω |
0.57407724986242 |
Real period |
R |
6.6527327159595 |
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 |
110864e1 124722bu1 1066e1 |
Quadratic twists by: -4 -3 13 |