Atkin-Lehner |
2- 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6384q |
Isogeny class |
Conductor |
6384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
1200938876928 = 216 · 39 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -6 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-124808,-16929552] |
[a1,a2,a3,a4,a6] |
j |
52492168638015625/293197968 |
j-invariant |
L |
0.50800595114938 |
L(r)(E,1)/r! |
Ω |
0.25400297557469 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
798e1 25536cw1 19152bl1 44688de1 |
Quadratic twists by: -4 8 -3 -7 |