Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24336bm |
Isogeny class |
Conductor |
24336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-4541681664 = -1 · 212 · 38 · 132 |
Discriminant |
Eigenvalues |
2- 3- -1 2 2 13+ 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1443,21346] |
[a1,a2,a3,a4,a6] |
Generators |
[23:18:1] |
Generators of the group modulo torsion |
j |
-658489/9 |
j-invariant |
L |
5.5778386088297 |
L(r)(E,1)/r! |
Ω |
1.3809479255127 |
Real period |
R |
1.0097843853813 |
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 |
1521c1 97344et1 8112ba1 24336bj1 |
Quadratic twists by: -4 8 -3 13 |