Atkin-Lehner |
2- 3+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
51984bg |
Isogeny class |
Conductor |
51984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2.0812470535402E+20 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -4 -6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-126486819,-547539771870] |
[a1,a2,a3,a4,a6] |
j |
8602523649/8 |
j-invariant |
L |
0.36014571076859 |
L(r)(E,1)/r! |
Ω |
0.045018213991852 |
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 |
6498a2 51984bj2 51984bf2 |
Quadratic twists by: -4 -3 -19 |