Atkin-Lehner |
3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
67335f |
Isogeny class |
Conductor |
67335 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1.2753062998263E+21 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 0 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4028971,-2595888760] |
[a1,a2,a3,a4,a6] |
j |
265847707/46875 |
j-invariant |
L |
0.97064173420661 |
L(r)(E,1)/r! |
Ω |
0.10784908055448 |
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 |
67335d2 |
Quadratic twists by: -67 |