Atkin-Lehner |
2- 3- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
44286bq |
Isogeny class |
Conductor |
44286 |
Conductor |
∏ cp |
720 |
Product of Tamagawa factors cp |
Δ |
1.0877432569237E+23 |
Discriminant |
Eigenvalues |
2- 3- 4 -4 11- -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-24459366,-43774980732] |
[a1,a2,a3,a4,a6] |
Generators |
[-350970:6751956:125] |
Generators of the group modulo torsion |
j |
913488720932053621369/61400271112522848 |
j-invariant |
L |
12.741683225183 |
L(r)(E,1)/r! |
Ω |
0.068174098916221 |
Real period |
R |
1.0383287810778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4026b2 |
Quadratic twists by: -11 |