Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352di |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-306024542208 = -1 · 212 · 36 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11+ 0 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2820,-63488] |
[a1,a2,a3,a4,a6] |
Generators |
[512:11520:1] |
Generators of the group modulo torsion |
j |
-830584000/102487 |
j-invariant |
L |
5.8632830512363 |
L(r)(E,1)/r! |
Ω |
0.32532482368985 |
Real period |
R |
4.5057144615763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352ep1 22176m1 4928z1 |
Quadratic twists by: -4 8 -3 |