Atkin-Lehner |
2+ 3+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
32016c |
Isogeny class |
Conductor |
32016 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-68746326801408 = -1 · 210 · 38 · 233 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 -4 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2208,-400176] |
[a1,a2,a3,a4,a6] |
Generators |
[200:-2668:1] [116:944:1] |
Generators of the group modulo torsion |
j |
-1163101562500/67135084767 |
j-invariant |
L |
6.5088945122039 |
L(r)(E,1)/r! |
Ω |
0.27122584433114 |
Real period |
R |
1.999838464342 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16008e1 128064do1 96048g1 |
Quadratic twists by: -4 8 -3 |