Atkin-Lehner |
2- 3- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
129744bk |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1809524814998667264 = 222 · 312 · 172 · 532 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-713451,222737690] |
[a1,a2,a3,a4,a6] |
j |
13450198349017513/606006199296 |
j-invariant |
L |
1.045868694161 |
L(r)(E,1)/r! |
Ω |
0.26146726887657 |
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 |
16218q2 43248n2 |
Quadratic twists by: -4 -3 |