Atkin-Lehner |
2+ 3+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
14448a |
Isogeny class |
Conductor |
14448 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-268386048 = -1 · 28 · 34 · 7 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 0 6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,132,-576] |
[a1,a2,a3,a4,a6] |
j |
986078000/1048383 |
j-invariant |
L |
1.8868346373952 |
L(r)(E,1)/r! |
Ω |
0.9434173186976 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7224g1 57792cn1 43344f1 101136q1 |
Quadratic twists by: -4 8 -3 -7 |