Atkin-Lehner |
2+ 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
67680q |
Isogeny class |
Conductor |
67680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-164462400000000 = -1 · 212 · 37 · 58 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-732,-617056] |
[a1,a2,a3,a4,a6] |
j |
-14526784/55078125 |
j-invariant |
L |
2.0839451649986 |
L(r)(E,1)/r! |
Ω |
0.26049314572906 |
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 |
67680ba2 22560m2 |
Quadratic twists by: -4 -3 |