Atkin-Lehner |
2- 3- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
28896n |
Isogeny class |
Conductor |
28896 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-1678423928832 = -1 · 212 · 34 · 76 · 43 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -3 -3 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,483,-62037] |
[a1,a2,a3,a4,a6] |
Generators |
[102:1029:1] |
Generators of the group modulo torsion |
j |
3036027392/409771467 |
j-invariant |
L |
7.1114967002259 |
L(r)(E,1)/r! |
Ω |
0.39785994304107 |
Real period |
R |
1.1171482616893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28896e1 57792l1 86688j1 |
Quadratic twists by: -4 8 -3 |