Atkin-Lehner |
2- 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
1044h |
Isogeny class |
Conductor |
1044 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
180 |
Modular degree for the optimal curve |
Δ |
338256 = 24 · 36 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 4 6 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-84,-295] |
[a1,a2,a3,a4,a6] |
j |
5619712/29 |
j-invariant |
L |
2.3662242551062 |
L(r)(E,1)/r! |
Ω |
1.5774828367375 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4176be1 16704w1 116c2 26100bb1 |
Quadratic twists by: -4 8 -3 5 |