Atkin-Lehner |
2- 3+ 5+ |
Signs for the Atkin-Lehner involutions |
Class |
14400cy |
Isogeny class |
Conductor |
14400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-35389440000000 = -1 · 224 · 33 · 57 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -6 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12300,-598000] |
[a1,a2,a3,a4,a6] |
j |
-1860867/320 |
j-invariant |
L |
0.89824139519787 |
L(r)(E,1)/r! |
Ω |
0.22456034879947 |
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 |
14400j1 3600z1 14400cx3 2880x1 |
Quadratic twists by: -4 8 -3 5 |