Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
19152bp |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
529614044725248 = 216 · 311 · 74 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23259,-798838] |
[a1,a2,a3,a4,a6] |
j |
466025146777/177366672 |
j-invariant |
L |
1.5966940059181 |
L(r)(E,1)/r! |
Ω |
0.39917350147952 |
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 |
2394m1 76608dy1 6384t1 |
Quadratic twists by: -4 8 -3 |