Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13650bs |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
348424866562500 = 22 · 36 · 57 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 6 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-18963,-459219] |
[a1,a2,a3,a4,a6] |
j |
48264326765929/22299191460 |
j-invariant |
L |
3.4019649809147 |
L(r)(E,1)/r! |
Ω |
0.42524562261434 |
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 |
109200ge1 40950ba1 2730o1 95550ke1 |
Quadratic twists by: -4 -3 5 -7 |