Atkin-Lehner |
3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
61347z |
Isogeny class |
Conductor |
61347 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.2181248141469E+22 |
Discriminant |
Eigenvalues |
-1 3- 2 0 11- 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9693252,-7774815465] |
[a1,a2,a3,a4,a6] |
Generators |
[14756876363855456022:1169569119551096024679:1905978280909256] |
Generators of the group modulo torsion |
j |
11779205551777/3763454409 |
j-invariant |
L |
5.624249904084 |
L(r)(E,1)/r! |
Ω |
0.087723688354967 |
Real period |
R |
32.056620107557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000047 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5577g3 4719j4 |
Quadratic twists by: -11 13 |