Atkin-Lehner |
2- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
59150bf |
Isogeny class |
Conductor |
59150 |
Conductor |
∏ cp |
352 |
Product of Tamagawa factors cp |
deg |
21288960 |
Modular degree for the optimal curve |
Δ |
2.8775500777984E+25 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 6 13+ 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-143217730,607150072897] |
[a1,a2,a3,a4,a6] |
j |
4307585705106105969/381542350192640 |
j-invariant |
L |
5.6930307669175 |
L(r)(E,1)/r! |
Ω |
0.064693531454095 |
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 |
11830m1 4550f1 |
Quadratic twists by: 5 13 |