Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360ig |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
23142733660569600 = 214 · 34 · 52 · 78 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-73320,2171700] |
[a1,a2,a3,a4,a6] |
j |
90458382169/48024900 |
j-invariant |
L |
5.328864270232 |
L(r)(E,1)/r! |
Ω |
0.33305404982507 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16170n2 18480br2 |
Quadratic twists by: -4 -7 |