Atkin-Lehner |
2+ 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
24768ba |
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 |
[6:-256:1] |
Generators of the group modulo torsion |
j |
1685159/8256 |
j-invariant |
L |
4.9987915390104 |
L(r)(E,1)/r! |
Ω |
0.60750249250432 |
Real period |
R |
1.0285537097971 |
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 |
24768ca1 774g1 8256u1 |
Quadratic twists by: -4 8 -3 |