Atkin-Lehner |
2- 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61710cl |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
450 |
Product of Tamagawa factors cp |
deg |
80784000 |
Modular degree for the optimal curve |
Δ |
-7.605653238921E+27 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11- 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8973025256,-327184828255680] |
[a1,a2,a3,a4,a6] |
j |
-45100802713464654722769650329/4293192974400000000000 |
j-invariant |
L |
3.4901562458725 |
L(r)(E,1)/r! |
Ω |
0.0077559027728144 |
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 |
5610p1 |
Quadratic twists by: -11 |