Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352ew |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
8774335674187776 = 224 · 36 · 72 · 114 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-186444,-30656880] |
[a1,a2,a3,a4,a6] |
Generators |
[597:8415:1] |
Generators of the group modulo torsion |
j |
3750606459153/45914176 |
j-invariant |
L |
7.0690663794293 |
L(r)(E,1)/r! |
Ω |
0.22992380904269 |
Real period |
R |
3.8431570053903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
44352x2 11088br2 4928bb2 |
Quadratic twists by: -4 8 -3 |