Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360hz |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
6.6321911752312E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2430220,768028568] |
[a1,a2,a3,a4,a6] |
j |
52702650535889104/22020583921875 |
j-invariant |
L |
5.2625254694803 |
L(r)(E,1)/r! |
Ω |
0.14618124379502 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32340n4 18480bo4 |
Quadratic twists by: -4 -7 |