Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
41382cl |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2.3687881577847E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11- 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-755789,-95337547] |
[a1,a2,a3,a4,a6] |
Generators |
[-641:11520:1] |
Generators of the group modulo torsion |
j |
36969300595297/18341826624 |
j-invariant |
L |
12.042354461934 |
L(r)(E,1)/r! |
Ω |
0.17040607350136 |
Real period |
R |
5.8890479539538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13794r2 3762h2 |
Quadratic twists by: -3 -11 |