Atkin-Lehner |
11+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
51623b |
Isogeny class |
Conductor |
51623 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
2.7400136439328E+19 |
Discriminant |
Eigenvalues |
0 2 0 -1 11+ 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-9228363,10790476981] |
[a1,a2,a3,a4,a6] |
j |
1847464752369664000/582413079677 |
j-invariant |
L |
0.41275165640042 |
L(r)(E,1)/r! |
Ω |
0.20637582856712 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2717c3 |
Quadratic twists by: -19 |