Atkin-Lehner |
2- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
88400bk |
Isogeny class |
Conductor |
88400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
183872000000 = 212 · 56 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 6 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23808,-1405888] |
[a1,a2,a3,a4,a6] |
Generators |
[352236:-2545075:1728] |
Generators of the group modulo torsion |
j |
23320116793/2873 |
j-invariant |
L |
11.924932834917 |
L(r)(E,1)/r! |
Ω |
0.38434436366363 |
Real period |
R |
7.7566721182189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976686 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5525e1 3536l1 |
Quadratic twists by: -4 5 |