Atkin-Lehner |
2- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
32144ba |
Isogeny class |
Conductor |
32144 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.494342677901E+20 |
Discriminant |
Eigenvalues |
2- 2 2 7- 6 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1741672,661479792] |
[a1,a2,a3,a4,a6] |
j |
1212480836738137/310100175392 |
j-invariant |
L |
6.1675522198051 |
L(r)(E,1)/r! |
Ω |
0.17132089499469 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4018h2 128576da2 4592k2 |
Quadratic twists by: -4 8 -7 |