Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6384j |
Isogeny class |
Conductor |
6384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-13585152 = -1 · 28 · 3 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28,-196] |
[a1,a2,a3,a4,a6] |
Generators |
[70:588:1] |
Generators of the group modulo torsion |
j |
-9826000/53067 |
j-invariant |
L |
4.9169680876899 |
L(r)(E,1)/r! |
Ω |
0.93050683357162 |
Real period |
R |
2.6420913368346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3192k2 25536ci2 19152s2 44688h2 |
Quadratic twists by: -4 8 -3 -7 |