Atkin-Lehner |
2- 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
51984cr |
Isogeny class |
Conductor |
51984 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
216196023567200256 = 212 · 310 · 197 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5277459,-4666383470] |
[a1,a2,a3,a4,a6] |
j |
115714886617/1539 |
j-invariant |
L |
3.1874520659327 |
L(r)(E,1)/r! |
Ω |
0.099607877095338 |
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 |
3249e3 17328bg3 2736t3 |
Quadratic twists by: -4 -3 -19 |