Atkin-Lehner |
2- 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
19680z |
Isogeny class |
Conductor |
19680 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
-2.0175075E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 5 2 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,456819,-180342981] |
[a1,a2,a3,a4,a6] |
j |
2573921453911778816/4925555419921875 |
j-invariant |
L |
4.0670306075606 |
L(r)(E,1)/r! |
Ω |
0.11297307243224 |
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 |
19680q1 39360cc1 59040r1 98400j1 |
Quadratic twists by: -4 8 -3 5 |