Atkin-Lehner |
2+ 3- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
13806f |
Isogeny class |
Conductor |
13806 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
48128 |
Modular degree for the optimal curve |
Δ |
-2968163647488 = -1 · 216 · 310 · 13 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 4 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6768,-228096] |
[a1,a2,a3,a4,a6] |
j |
-47034153084673/4071555072 |
j-invariant |
L |
2.0950773714269 |
L(r)(E,1)/r! |
Ω |
0.26188467142837 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110448bo1 4602f1 |
Quadratic twists by: -4 -3 |