Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
110880cu |
Isogeny class |
Conductor |
110880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3992430435840000 = 212 · 310 · 54 · 74 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57468,4344608] |
[a1,a2,a3,a4,a6] |
Generators |
[-266:900:1] |
Generators of the group modulo torsion |
j |
7029338948416/1337056875 |
j-invariant |
L |
6.9307465037467 |
L(r)(E,1)/r! |
Ω |
0.41790632133377 |
Real period |
R |
2.073056254609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963841 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110880bk3 36960m3 |
Quadratic twists by: -4 -3 |