Atkin-Lehner |
2+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
67280f |
Isogeny class |
Conductor |
67280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
80039426073760000 = 28 · 54 · 298 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 0 -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-207727,-33803154] |
[a1,a2,a3,a4,a6] |
j |
6509904336/525625 |
j-invariant |
L |
1.798195443862 |
L(r)(E,1)/r! |
Ω |
0.22477443106845 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33640g2 2320d2 |
Quadratic twists by: -4 29 |