Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
67600by |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-8.15730721E+24 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 -2 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-51445008,197636952512] |
[a1,a2,a3,a4,a6] |
j |
-48743122863889/26406250000 |
j-invariant |
L |
4.9332169023092 |
L(r)(E,1)/r! |
Ω |
0.068516901382557 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8450s2 13520be2 5200ba2 |
Quadratic twists by: -4 5 13 |