Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6384u |
Isogeny class |
Conductor |
6384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-418381824 = -1 · 220 · 3 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,48,960] |
[a1,a2,a3,a4,a6] |
Generators |
[17:80:1] |
Generators of the group modulo torsion |
j |
2924207/102144 |
j-invariant |
L |
4.0888450982987 |
L(r)(E,1)/r! |
Ω |
1.2680026137337 |
Real period |
R |
3.2246345977622 |
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 |
798i1 25536dp1 19152bu1 44688dn1 |
Quadratic twists by: -4 8 -3 -7 |