Atkin-Lehner |
2- 3- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
129150cv |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
264964897787625000 = 23 · 37 · 56 · 73 · 414 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9886280,-11962082653] |
[a1,a2,a3,a4,a6] |
j |
9381555148655972017/23261664552 |
j-invariant |
L |
4.0867920780542 |
L(r)(E,1)/r! |
Ω |
0.085141519393516 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43050m4 5166s3 |
Quadratic twists by: -3 5 |