Atkin-Lehner |
2- 3+ 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
13884a |
Isogeny class |
Conductor |
13884 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-1423154873088 = -1 · 28 · 37 · 134 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 -2 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13573,615889] |
[a1,a2,a3,a4,a6] |
j |
-1080297299968000/5559198723 |
j-invariant |
L |
1.7144752677551 |
L(r)(E,1)/r! |
Ω |
0.85723763387754 |
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 |
55536bc1 41652g1 |
Quadratic twists by: -4 -3 |