Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6384bd |
Isogeny class |
Conductor |
6384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
4229003476992 = 222 · 3 · 72 · 193 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -2 -6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5664,129012] |
[a1,a2,a3,a4,a6] |
j |
4906933498657/1032471552 |
j-invariant |
L |
1.4725690871507 |
L(r)(E,1)/r! |
Ω |
0.73628454357536 |
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 |
798g1 25536cl1 19152br1 44688cl1 |
Quadratic twists by: -4 8 -3 -7 |