Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33800z |
Isogeny class |
Conductor |
33800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
10039762720000 = 28 · 54 · 137 |
Discriminant |
Eigenvalues |
2- -1 5- 0 2 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5633,58837] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:338:1] |
Generators of the group modulo torsion |
j |
25600/13 |
j-invariant |
L |
4.1622643739675 |
L(r)(E,1)/r! |
Ω |
0.64008171812091 |
Real period |
R |
0.81283847361444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67600x1 33800c1 2600f1 |
Quadratic twists by: -4 5 13 |