Atkin-Lehner |
2+ 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
32160h |
Isogeny class |
Conductor |
32160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
-28133568000 = -1 · 29 · 38 · 53 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 3 -6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,744,-1800] |
[a1,a2,a3,a4,a6] |
Generators |
[6:54:1] |
Generators of the group modulo torsion |
j |
88835939128/54948375 |
j-invariant |
L |
6.9932360413029 |
L(r)(E,1)/r! |
Ω |
0.68281316797429 |
Real period |
R |
0.64011251258983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32160a1 64320ca1 96480bg1 |
Quadratic twists by: -4 8 -3 |