Atkin-Lehner |
2- 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
468d |
Isogeny class |
Conductor |
468 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
2702395208448 = 28 · 37 · 136 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6735,197494] |
[a1,a2,a3,a4,a6] |
j |
181037698000/14480427 |
j-invariant |
L |
1.5799514360134 |
L(r)(E,1)/r! |
Ω |
0.7899757180067 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
1872p4 7488k4 156b4 11700j4 |
Quadratic twists by: -4 8 -3 5 |