Atkin-Lehner |
2- 3+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
24768bv |
Isogeny class |
Conductor |
24768 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-9003866259456 = -1 · 222 · 33 · 433 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 3 1 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3636,117136] |
[a1,a2,a3,a4,a6] |
Generators |
[32:516:1] |
Generators of the group modulo torsion |
j |
751089429/1272112 |
j-invariant |
L |
4.8328557641882 |
L(r)(E,1)/r! |
Ω |
0.50035509717268 |
Real period |
R |
0.80490432219985 |
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 |
24768d1 6192i1 24768bt2 |
Quadratic twists by: -4 8 -3 |