Atkin-Lehner |
2+ 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106560bf |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-9679939043328000 = -1 · 221 · 36 · 53 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 3 4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10668,-4752592] |
[a1,a2,a3,a4,a6] |
j |
-702595369/50653000 |
j-invariant |
L |
1.4411945722497 |
L(r)(E,1)/r! |
Ω |
0.18014933063576 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106560eh2 3330z2 11840k2 |
Quadratic twists by: -4 8 -3 |