Atkin-Lehner |
2+ 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20592c |
Isogeny class |
Conductor |
20592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-19454992128 = -1 · 28 · 312 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11+ 13+ -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,105,-6698] |
[a1,a2,a3,a4,a6] |
Generators |
[18:32:1] [29:144:1] |
Generators of the group modulo torsion |
j |
686000/104247 |
j-invariant |
L |
6.8595109359721 |
L(r)(E,1)/r! |
Ω |
0.57615018799543 |
Real period |
R |
5.952884403143 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10296e1 82368ew1 6864i1 |
Quadratic twists by: -4 8 -3 |