Atkin-Lehner |
2- 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
49104bn |
Isogeny class |
Conductor |
49104 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2.0079033876933E+23 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14827539,-4261334830] |
[a1,a2,a3,a4,a6] |
j |
120737856347074599697/67244278190817024 |
j-invariant |
L |
3.9620716593259 |
L(r)(E,1)/r! |
Ω |
0.082543159573393 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6138f2 16368n2 |
Quadratic twists by: -4 -3 |