Atkin-Lehner |
2+ 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
14400z |
Isogeny class |
Conductor |
14400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-24488801280000000 = -1 · 216 · 314 · 57 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,71700,-1442000] |
[a1,a2,a3,a4,a6] |
j |
54607676/32805 |
j-invariant |
L |
1.7621257046433 |
L(r)(E,1)/r! |
Ω |
0.22026571308042 |
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 |
14400dq4 1800r4 4800r4 2880s4 |
Quadratic twists by: -4 8 -3 5 |