Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4368f |
Isogeny class |
Conductor |
4368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1228351488 = 211 · 3 · 7 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-952,10868] |
[a1,a2,a3,a4,a6] |
j |
46640233586/599781 |
j-invariant |
L |
3.0804265032319 |
L(r)(E,1)/r! |
Ω |
1.540213251616 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2184b3 17472bx3 13104o3 109200u4 |
Quadratic twists by: -4 8 -3 5 |