Atkin-Lehner |
2+ 3- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
43992f |
Isogeny class |
Conductor |
43992 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2508143698944 = 210 · 38 · 132 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5691,146630] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:416:1] |
Generators of the group modulo torsion |
j |
27306245092/3359889 |
j-invariant |
L |
3.8868253746254 |
L(r)(E,1)/r! |
Ω |
0.78516681858767 |
Real period |
R |
2.4751589615083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87984h2 14664e2 |
Quadratic twists by: -4 -3 |