Atkin-Lehner |
2+ 23+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
18584a |
Isogeny class |
Conductor |
18584 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16640 |
Modular degree for the optimal curve |
Δ |
-1050514159088 = -1 · 24 · 235 · 1012 |
Discriminant |
Eigenvalues |
2+ 1 0 2 -4 7 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-368,49265] |
[a1,a2,a3,a4,a6] |
j |
-345403552000/65657134943 |
j-invariant |
L |
2.8564924451709 |
L(r)(E,1)/r! |
Ω |
0.71412311129274 |
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 |
37168c1 |
Quadratic twists by: -4 |