Atkin-Lehner |
2- 3+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
112608ba |
Isogeny class |
Conductor |
112608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
43241472 = 212 · 33 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 -3 -6 3 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-600,5648] |
[a1,a2,a3,a4,a6] |
Generators |
[16:12:1] |
Generators of the group modulo torsion |
j |
216000000/391 |
j-invariant |
L |
4.7297607001087 |
L(r)(E,1)/r! |
Ω |
2.0299466958757 |
Real period |
R |
0.58249814034535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972887 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112608z1 112608c1 |
Quadratic twists by: -4 -3 |