Atkin-Lehner |
2- 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440eb |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
2327947776000 = 212 · 310 · 53 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29307,1929706] |
[a1,a2,a3,a4,a6] |
Generators |
[117:-320:1] [-115:1944:1] |
Generators of the group modulo torsion |
j |
932288503609/779625 |
j-invariant |
L |
10.161510301241 |
L(r)(E,1)/r! |
Ω |
0.812702779136 |
Real period |
R |
1.0419461417418 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3465t1 18480cq1 |
Quadratic twists by: -4 -3 |