Atkin-Lehner |
2+ 3- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
53664f |
Isogeny class |
Conductor |
53664 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
Δ |
2.2118368702475E+21 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 -4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5082032,3783148380] |
[a1,a2,a3,a4,a6] |
Generators |
[14714:205725:8] |
Generators of the group modulo torsion |
j |
28350845980452046037384/4319993887202162403 |
j-invariant |
L |
6.6452359679805 |
L(r)(E,1)/r! |
Ω |
0.14005293559825 |
Real period |
R |
6.7782900796418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000072 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53664k3 107328c4 |
Quadratic twists by: -4 8 |