Atkin-Lehner |
2+ 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
14400bf |
Isogeny class |
Conductor |
14400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
58320000000 = 210 · 36 · 57 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1200,-11000] |
[a1,a2,a3,a4,a6] |
j |
16384/5 |
j-invariant |
L |
1.6608154386774 |
L(r)(E,1)/r! |
Ω |
0.83040771933868 |
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 |
14400dw1 900e1 1600g1 2880i1 |
Quadratic twists by: -4 8 -3 5 |