Atkin-Lehner |
2- 3+ 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
28644f |
Isogeny class |
Conductor |
28644 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-988103424 = -1 · 28 · 3 · 73 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11+ 1 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-621,-5943] |
[a1,a2,a3,a4,a6] |
Generators |
[32:77:1] |
Generators of the group modulo torsion |
j |
-103623368704/3859779 |
j-invariant |
L |
3.8237826303855 |
L(r)(E,1)/r! |
Ω |
0.47707856256217 |
Real period |
R |
1.3358326176754 |
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 |
114576bz1 85932bj1 |
Quadratic twists by: -4 -3 |