Atkin-Lehner |
2+ 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
10440d |
Isogeny class |
Conductor |
10440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5.1729384375E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9891363,11462883838] |
[a1,a2,a3,a4,a6] |
j |
71686050207365805122/3464813232421875 |
j-invariant |
L |
2.4217268504039 |
L(r)(E,1)/r! |
Ω |
0.13454038057799 |
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 |
20880i5 83520cw6 3480s5 52200bp6 |
Quadratic twists by: -4 8 -3 5 |