Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920gx |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
1536 |
Product of Tamagawa factors cp |
Δ |
7652051870548377600 = 214 · 312 · 52 · 74 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-550481,83481519] |
[a1,a2,a3,a4,a6] |
Generators |
[-611:13860:1] |
Generators of the group modulo torsion |
j |
1125982298608534096/467044181552025 |
j-invariant |
L |
8.3879219807849 |
L(r)(E,1)/r! |
Ω |
0.21217024396946 |
Real period |
R |
0.4118116926612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998215 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73920b2 18480o2 |
Quadratic twists by: -4 8 |