Atkin-Lehner |
2- 3+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
24768bu |
Isogeny class |
Conductor |
24768 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
-74304 = -1 · 26 · 33 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 3 -3 1 5 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9,-8] |
[a1,a2,a3,a4,a6] |
Generators |
[8:24:1] |
Generators of the group modulo torsion |
j |
46656/43 |
j-invariant |
L |
6.5059189787812 |
L(r)(E,1)/r! |
Ω |
1.888951521563 |
Real period |
R |
1.722097921655 |
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 |
24768bp1 12384j1 24768bw1 |
Quadratic twists by: -4 8 -3 |