Atkin-Lehner |
2+ 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
51984n |
Isogeny class |
Conductor |
51984 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
574560 |
Modular degree for the optimal curve |
Δ |
198096279310224 = 24 · 36 · 198 |
Discriminant |
Eigenvalues |
2+ 3- -3 0 -4 -5 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1378659,623064701] |
[a1,a2,a3,a4,a6] |
j |
1462911232 |
j-invariant |
L |
0.46796564009812 |
L(r)(E,1)/r! |
Ω |
0.46796563884167 |
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 |
25992y1 5776a1 51984ba1 |
Quadratic twists by: -4 -3 -19 |