Atkin-Lehner |
2+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
8288a |
Isogeny class |
Conductor |
8288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-41141582272 = -1 · 26 · 73 · 374 |
Discriminant |
Eigenvalues |
2+ 2 0 7+ 4 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-798,13328] |
[a1,a2,a3,a4,a6] |
Generators |
[669:2438:27] |
Generators of the group modulo torsion |
j |
-879217912000/642837223 |
j-invariant |
L |
6.0571980855524 |
L(r)(E,1)/r! |
Ω |
1.0541863815039 |
Real period |
R |
5.7458512003456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8288g1 16576l1 74592z1 58016g1 |
Quadratic twists by: -4 8 -3 -7 |