Atkin-Lehner |
2- 3+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
23322j |
Isogeny class |
Conductor |
23322 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-24315301331568 = -1 · 24 · 34 · 138 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 -6 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-26283,-1668087] |
[a1,a2,a3,a4,a6] |
j |
-415996269625/5037552 |
j-invariant |
L |
1.4987443859413 |
L(r)(E,1)/r! |
Ω |
0.18734304824265 |
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 |
69966o1 1794a1 |
Quadratic twists by: -3 13 |