Atkin-Lehner |
2- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
44096m |
Isogeny class |
Conductor |
44096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22016 |
Modular degree for the optimal curve |
Δ |
-4786356224 = -1 · 217 · 13 · 532 |
Discriminant |
Eigenvalues |
2- 1 -1 -3 -4 13+ 5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1,-3329] |
[a1,a2,a3,a4,a6] |
Generators |
[15:16:1] [18:53:1] |
Generators of the group modulo torsion |
j |
-2/36517 |
j-invariant |
L |
9.2520808230938 |
L(r)(E,1)/r! |
Ω |
0.62813830482865 |
Real period |
R |
1.8411711146994 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44096c1 11024d1 |
Quadratic twists by: -4 8 |