Atkin-Lehner |
2+ 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
128122d |
Isogeny class |
Conductor |
128122 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
4.0488243314597E+20 |
Discriminant |
Eigenvalues |
2+ -2 3 2 0 -5 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7388047,7667859138] |
[a1,a2,a3,a4,a6] |
Generators |
[1454:-423:1] |
Generators of the group modulo torsion |
j |
4137380171974153/37561401344 |
j-invariant |
L |
4.7557161265017 |
L(r)(E,1)/r! |
Ω |
0.16919523189349 |
Real period |
R |
4.6846436948429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997240746 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2726c2 |
Quadratic twists by: -47 |