Atkin-Lehner |
2+ 3- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
43992f |
Isogeny class |
Conductor |
43992 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
342081792 = 28 · 37 · 13 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5511,157466] |
[a1,a2,a3,a4,a6] |
Generators |
[46:36:1] |
Generators of the group modulo torsion |
j |
99185332048/1833 |
j-invariant |
L |
3.8868253746254 |
L(r)(E,1)/r! |
Ω |
1.5703336371753 |
Real period |
R |
1.2375794807541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87984h1 14664e1 |
Quadratic twists by: -4 -3 |