Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
43120z |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
5194777477120000 = 217 · 54 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 11- -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-107816,-13213516] |
[a1,a2,a3,a4,a6] |
Generators |
[-178:608:1] |
Generators of the group modulo torsion |
j |
5869932649/220000 |
j-invariant |
L |
6.1730073636472 |
L(r)(E,1)/r! |
Ω |
0.26407608121374 |
Real period |
R |
2.9219833803535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5390a1 43120cq1 |
Quadratic twists by: -4 -7 |