Atkin-Lehner |
2- 3+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
13884b |
Isogeny class |
Conductor |
13884 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2016 |
Modular degree for the optimal curve |
Δ |
-11551488 = -1 · 28 · 3 · 132 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13,169] |
[a1,a2,a3,a4,a6] |
Generators |
[0:13:1] |
Generators of the group modulo torsion |
j |
-1024000/45123 |
j-invariant |
L |
3.3283789535298 |
L(r)(E,1)/r! |
Ω |
1.8806859477424 |
Real period |
R |
0.88488430445425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55536bh1 41652i1 |
Quadratic twists by: -4 -3 |