Atkin-Lehner |
2- 3- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
8034j |
Isogeny class |
Conductor |
8034 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1512692597392236 = 22 · 324 · 13 · 103 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-39637,2389205] |
[a1,a2,a3,a4,a6] |
j |
6886946780408974033/1512692597392236 |
j-invariant |
L |
5.4020660351888 |
L(r)(E,1)/r! |
Ω |
0.45017216959906 |
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 |
64272s3 24102o3 104442n3 |
Quadratic twists by: -4 -3 13 |