Atkin-Lehner |
2- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
17600bl |
Isogeny class |
Conductor |
17600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-225280000000 = -1 · 218 · 57 · 11 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1300,-14000] |
[a1,a2,a3,a4,a6] |
j |
59319/55 |
j-invariant |
L |
1.088628914797 |
L(r)(E,1)/r! |
Ω |
0.54431445739848 |
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 |
17600j1 4400q1 3520o1 |
Quadratic twists by: -4 8 5 |