Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520gp |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
249389383680 = 218 · 38 · 5 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15852,767824] |
[a1,a2,a3,a4,a6] |
Generators |
[80:108:1] |
Generators of the group modulo torsion |
j |
2305199161/1305 |
j-invariant |
L |
4.8562957111247 |
L(r)(E,1)/r! |
Ω |
0.97408018645062 |
Real period |
R |
1.246379860298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008845 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520df1 20880bx1 27840dm1 |
Quadratic twists by: -4 8 -3 |