Atkin-Lehner |
2+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
8288a |
Isogeny class |
Conductor |
8288 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
82463478272 = 29 · 76 · 372 |
Discriminant |
Eigenvalues |
2+ 2 0 7+ 4 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14488,675924] |
[a1,a2,a3,a4,a6] |
Generators |
[60:138:1] |
Generators of the group modulo torsion |
j |
656914788557000/161061481 |
j-invariant |
L |
6.0571980855524 |
L(r)(E,1)/r! |
Ω |
1.0541863815039 |
Real period |
R |
2.8729256001728 |
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 |
8288g2 16576l2 74592z2 58016g2 |
Quadratic twists by: -4 8 -3 -7 |