Atkin-Lehner |
2- 3+ 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
43824p |
Isogeny class |
Conductor |
43824 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
133552463413248 = 218 · 34 · 11 · 833 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 11+ 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2096168,1168818288] |
[a1,a2,a3,a4,a6] |
Generators |
[786:2490:1] |
Generators of the group modulo torsion |
j |
248680786183080387625/32605581888 |
j-invariant |
L |
4.1055237277819 |
L(r)(E,1)/r! |
Ω |
0.45440079325625 |
Real period |
R |
1.5058379403957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999876 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5478e3 |
Quadratic twists by: -4 |