Atkin-Lehner |
2- 3- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
13884d |
Isogeny class |
Conductor |
13884 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
76135857408 = 28 · 32 · 135 · 89 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 -6 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11157,449703] |
[a1,a2,a3,a4,a6] |
j |
600018956320768/297405693 |
j-invariant |
L |
2.1465922070838 |
L(r)(E,1)/r! |
Ω |
1.0732961035419 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55536t1 41652d1 |
Quadratic twists by: -4 -3 |