Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
16800bs |
Isogeny class |
Conductor |
16800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
2953125000000 = 26 · 33 · 512 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5258,-123012] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:150:1] |
Generators of the group modulo torsion |
j |
16079333824/2953125 |
j-invariant |
L |
6.0140335362807 |
L(r)(E,1)/r! |
Ω |
0.56774473389513 |
Real period |
R |
1.7654746277199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16800bh1 33600ej2 50400w1 3360h1 |
Quadratic twists by: -4 8 -3 5 |