Atkin-Lehner |
2- 3+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
24768bw |
Isogeny class |
Conductor |
24768 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-54167616 = -1 · 26 · 39 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -3 -3 -1 5 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,81,216] |
[a1,a2,a3,a4,a6] |
Generators |
[12:54:1] |
Generators of the group modulo torsion |
j |
46656/43 |
j-invariant |
L |
3.3185394162803 |
L(r)(E,1)/r! |
Ω |
1.3020786721537 |
Real period |
R |
1.2743236976577 |
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 |
24768bq1 12384a1 24768bu1 |
Quadratic twists by: -4 8 -3 |