Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462cm |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-954068544 = -1 · 26 · 36 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 11+ 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-266,-2167] |
[a1,a2,a3,a4,a6] |
Generators |
[27:85:1] |
Generators of the group modulo torsion |
j |
-16835377/7744 |
j-invariant |
L |
10.137957329086 |
L(r)(E,1)/r! |
Ω |
0.57844567155409 |
Real period |
R |
0.73025853504455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3718k1 33462bk1 |
Quadratic twists by: -3 13 |