Atkin-Lehner |
2- 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
14400eo |
Isogeny class |
Conductor |
14400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-2519424000000000 = -1 · 216 · 39 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -2 -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,28500,-1550000] |
[a1,a2,a3,a4,a6] |
j |
27436/27 |
j-invariant |
L |
1.9924025167228 |
L(r)(E,1)/r! |
Ω |
0.24905031459035 |
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 |
14400cf1 3600r1 4800ck1 14400eu1 |
Quadratic twists by: -4 8 -3 5 |