Atkin-Lehner |
13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
14027a |
Isogeny class |
Conductor |
14027 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-400625147 = -1 · 136 · 83 |
Discriminant |
Eigenvalues |
1 -1 2 3 -3 13+ 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,166,-437] |
[a1,a2,a3,a4,a6] |
j |
103823/83 |
j-invariant |
L |
1.871818561038 |
L(r)(E,1)/r! |
Ω |
0.93590928051902 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126243l1 83a1 |
Quadratic twists by: -3 13 |