Atkin-Lehner |
2- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
46400ca |
Isogeny class |
Conductor |
46400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-31185872932044800 = -1 · 221 · 52 · 296 |
Discriminant |
Eigenvalues |
2- -1 5+ -4 -3 -4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,36767,-8063743] |
[a1,a2,a3,a4,a6] |
Generators |
[173:1856:1] |
Generators of the group modulo torsion |
j |
838699829375/4758586568 |
j-invariant |
L |
1.8594926265409 |
L(r)(E,1)/r! |
Ω |
0.1858067406615 |
Real period |
R |
0.41698626844072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999529 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46400m2 11600r2 46400cn2 |
Quadratic twists by: -4 8 5 |