Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
18150dg |
Isogeny class |
Conductor |
18150 |
Conductor |
∏ cp |
648 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-15342639471720000 = -1 · 26 · 39 · 54 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11- 4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,39262,-5149308] |
[a1,a2,a3,a4,a6] |
Generators |
[142:1744:1] |
Generators of the group modulo torsion |
j |
6045109175/13856832 |
j-invariant |
L |
9.6912652425674 |
L(r)(E,1)/r! |
Ω |
0.20379551297155 |
Real period |
R |
0.073385601186508 |
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 |
54450cx1 18150h1 1650j1 |
Quadratic twists by: -3 5 -11 |