Atkin-Lehner |
2+ 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16224a |
Isogeny class |
Conductor |
16224 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
174720 |
Modular degree for the optimal curve |
Δ |
-137214416975081472 = -1 · 212 · 35 · 1310 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -1 -6 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-380813,-92063739] |
[a1,a2,a3,a4,a6] |
Generators |
[31437790755:5490340891836:1030301] |
Generators of the group modulo torsion |
j |
-10816000/243 |
j-invariant |
L |
3.5561038351781 |
L(r)(E,1)/r! |
Ω |
0.095965304213765 |
Real period |
R |
18.528070453759 |
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 |
16224h1 32448cw1 48672bl1 16224m1 |
Quadratic twists by: -4 8 -3 13 |