Atkin-Lehner |
2+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
128576m |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2135156305239867392 = 217 · 78 · 414 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-519596,125856304] |
[a1,a2,a3,a4,a6] |
j |
1006057824354/138462289 |
j-invariant |
L |
2.0056038699054 |
L(r)(E,1)/r! |
Ω |
0.25070056222297 |
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 |
128576cf4 16072g3 18368l3 |
Quadratic twists by: -4 8 -7 |