Atkin-Lehner |
2- 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
27636c |
Isogeny class |
Conductor |
27636 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4191451746048 = 28 · 32 · 77 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4132,28792] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:342:1] |
Generators of the group modulo torsion |
j |
259108432/139167 |
j-invariant |
L |
5.3639043075377 |
L(r)(E,1)/r! |
Ω |
0.68121390595332 |
Real period |
R |
3.9370190924326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110544dz2 82908bf2 3948c2 |
Quadratic twists by: -4 -3 -7 |