Atkin-Lehner |
2- 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
24768ca |
Isogeny class |
Conductor |
24768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-1577746169856 = -1 · 224 · 37 · 43 |
Discriminant |
Eigenvalues |
2- 3- 1 5 -1 3 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1428,-56752] |
[a1,a2,a3,a4,a6] |
Generators |
[28:72:1] |
Generators of the group modulo torsion |
j |
1685159/8256 |
j-invariant |
L |
6.9474794556857 |
L(r)(E,1)/r! |
Ω |
0.42563654174345 |
Real period |
R |
2.0403204302044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24768ba1 6192u1 8256bd1 |
Quadratic twists by: -4 8 -3 |