Atkin-Lehner |
2- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
78650cc |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
1280 |
Product of Tamagawa factors cp |
deg |
19353600 |
Modular degree for the optimal curve |
Δ |
-5.5169305806972E+24 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11- 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-174078730,-891179538103] |
[a1,a2,a3,a4,a6] |
j |
-21075830718885163521/199306463150080 |
j-invariant |
L |
1.6616064493573 |
L(r)(E,1)/r! |
Ω |
0.020770080312799 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15730j1 7150a1 |
Quadratic twists by: 5 -11 |