Atkin-Lehner |
2- 3- 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
119616y |
Isogeny class |
Conductor |
119616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
66048 |
Modular degree for the optimal curve |
Δ |
-979894272 = -1 · 219 · 3 · 7 · 89 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -6 -4 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,63,-1473] |
[a1,a2,a3,a4,a6] |
Generators |
[309:800:27] |
Generators of the group modulo torsion |
j |
103823/3738 |
j-invariant |
L |
8.9095712211324 |
L(r)(E,1)/r! |
Ω |
0.75260235418565 |
Real period |
R |
2.9595878856619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999780668 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119616d1 29904b1 |
Quadratic twists by: -4 8 |