Atkin-Lehner |
2+ 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
128960b |
Isogeny class |
Conductor |
128960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4604862775951360 = 225 · 5 · 134 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 2 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-211468,-37286928] |
[a1,a2,a3,a4,a6] |
j |
3989493518355801/17566157440 |
j-invariant |
L |
0.89076601295059 |
L(r)(E,1)/r! |
Ω |
0.22269140021021 |
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 |
128960w2 4030a2 |
Quadratic twists by: -4 8 |