Atkin-Lehner |
2+ 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770bc |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.485863243196E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-154449104,-738578891698] |
[a1,a2,a3,a4,a6] |
Generators |
[-574887210:-738769979:79507] |
Generators of the group modulo torsion |
j |
84415028961834287121601/30783551683856400 |
j-invariant |
L |
6.2012874740625 |
L(r)(E,1)/r! |
Ω |
0.042826512647134 |
Real period |
R |
12.066683094799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000068 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4290bb6 |
Quadratic twists by: 13 |