Atkin-Lehner |
2- 3- 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
43824x |
Isogeny class |
Conductor |
43824 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-179209706176512 = -1 · 215 · 38 · 112 · 832 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23968,1558772] |
[a1,a2,a3,a4,a6] |
Generators |
[68:-498:1] |
Generators of the group modulo torsion |
j |
-371772508542625/43752369672 |
j-invariant |
L |
7.9307901434342 |
L(r)(E,1)/r! |
Ω |
0.55383365047688 |
Real period |
R |
0.89498784253764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999918 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5478m2 |
Quadratic twists by: -4 |