Atkin-Lehner |
2+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
448a |
Isogeny class |
Conductor |
448 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
314703872 = 217 · 74 |
Discriminant |
Eigenvalues |
2+ 0 -2 7+ 4 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-236,-1104] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:16:1] |
Generators of the group modulo torsion |
j |
11090466/2401 |
j-invariant |
L |
1.7234498941954 |
L(r)(E,1)/r! |
Ω |
1.2367980868757 |
Real period |
R |
0.69673858347771 |
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 |
448b4 56a3 4032g4 11200n3 |
Quadratic twists by: -4 8 -3 5 |