Atkin-Lehner |
3- 7+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
14469h |
Isogeny class |
Conductor |
14469 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-227929592709 = -1 · 39 · 75 · 13 · 53 |
Discriminant |
Eigenvalues |
-1 3- 3 7+ -4 13- 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-31219,-2125858] |
[a1,a2,a3,a4,a6] |
j |
-3364972696972491697/227929592709 |
j-invariant |
L |
1.6162386352142 |
L(r)(E,1)/r! |
Ω |
0.17958207057936 |
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 |
43407i1 101283f1 |
Quadratic twists by: -3 -7 |