Atkin-Lehner |
2- 3+ 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
53808j |
Isogeny class |
Conductor |
53808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6504960 |
Modular degree for the optimal curve |
Δ |
2.6247126903959E+23 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 -4 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16689752,9014042928] |
[a1,a2,a3,a4,a6] |
j |
125520147312000770117593/64079899667869751073 |
j-invariant |
L |
0.17329013166867 |
L(r)(E,1)/r! |
Ω |
0.086645065757324 |
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 |
3363f1 |
Quadratic twists by: -4 |