Atkin-Lehner |
2- 3- 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
28710bb |
Isogeny class |
Conductor |
28710 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
683677615104000000 = 216 · 38 · 56 · 112 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3168158,2170919981] |
[a1,a2,a3,a4,a6] |
Generators |
[1113:-5309:1] |
Generators of the group modulo torsion |
j |
4824102779948022151321/937829376000000 |
j-invariant |
L |
7.3397593342527 |
L(r)(E,1)/r! |
Ω |
0.27831772135714 |
Real period |
R |
0.82412100126774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9570p2 |
Quadratic twists by: -3 |