Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
64944bq |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-5.0613740176253E+23 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,18342645,16041454778] |
[a1,a2,a3,a4,a6] |
Generators |
[-809:25938:1] |
Generators of the group modulo torsion |
j |
228571521134288888375/169504391772536832 |
j-invariant |
L |
7.7276516490661 |
L(r)(E,1)/r! |
Ω |
0.05931312690373 |
Real period |
R |
5.4285704057007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999564 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8118k4 21648m4 |
Quadratic twists by: -4 -3 |