Atkin-Lehner |
2- 3- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
43824bk |
Isogeny class |
Conductor |
43824 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-32657190432768 = -1 · 212 · 38 · 114 · 83 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3816,260820] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:168:1] [-18:432:1] |
Generators of the group modulo torsion |
j |
1499944011623/7972946883 |
j-invariant |
L |
9.7628373319602 |
L(r)(E,1)/r! |
Ω |
0.47330033063929 |
Real period |
R |
2.578393860082 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2739c4 |
Quadratic twists by: -4 |