Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16900j |
Isogeny class |
Conductor |
16900 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
6033511250000 = 24 · 57 · 136 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5633,113762] |
[a1,a2,a3,a4,a6] |
j |
16384/5 |
j-invariant |
L |
4.2038474533591 |
L(r)(E,1)/r! |
Ω |
0.70064124222651 |
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 |
67600cc1 3380i1 100a1 |
Quadratic twists by: -4 5 13 |