Atkin-Lehner |
2- 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66066cu |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
1536 |
Product of Tamagawa factors cp |
Δ |
3.0417550401399E+23 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-46372829,-118618840911] |
[a1,a2,a3,a4,a6] |
Generators |
[-4016:55369:1] |
Generators of the group modulo torsion |
j |
6225272619854317474537/171699142176866304 |
j-invariant |
L |
10.857989433086 |
L(r)(E,1)/r! |
Ω |
0.057951574573631 |
Real period |
R |
1.9516994562882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000729 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6006m2 |
Quadratic twists by: -11 |