Atkin-Lehner |
2- 3- 5+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
56070t |
Isogeny class |
Conductor |
56070 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2772871201800 = 23 · 36 · 52 · 74 · 892 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10418,-398743] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:75:1] |
Generators of the group modulo torsion |
j |
171518180523481/3803664200 |
j-invariant |
L |
8.2897820437714 |
L(r)(E,1)/r! |
Ω |
0.47319797485127 |
Real period |
R |
1.4598861513163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6230d2 |
Quadratic twists by: -3 |