Atkin-Lehner |
2- 3- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
43824bm |
Isogeny class |
Conductor |
43824 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
12147265315418112 = 212 · 35 · 116 · 832 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 11- 2 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-57560,-385836] |
[a1,a2,a3,a4,a6] |
Generators |
[-116:2178:1] |
Generators of the group modulo torsion |
j |
5149127728497241/2965640946147 |
j-invariant |
L |
4.4869902507749 |
L(r)(E,1)/r! |
Ω |
0.33559079113847 |
Real period |
R |
0.4456807088921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2739a2 |
Quadratic twists by: -4 |