Atkin-Lehner |
2- 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
51984cr |
Isogeny class |
Conductor |
51984 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
456413827530756096 = 212 · 38 · 198 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-338979,-68658590] |
[a1,a2,a3,a4,a6] |
j |
30664297/3249 |
j-invariant |
L |
3.1874520659327 |
L(r)(E,1)/r! |
Ω |
0.19921575419068 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3249e2 17328bg2 2736t2 |
Quadratic twists by: -4 -3 -19 |