Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6384l |
Isogeny class |
Conductor |
6384 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-3772790784 = -1 · 211 · 36 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -6 -2 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,128,-2860] |
[a1,a2,a3,a4,a6] |
Generators |
[20:90:1] |
Generators of the group modulo torsion |
j |
112363774/1842183 |
j-invariant |
L |
5.1986032668727 |
L(r)(E,1)/r! |
Ω |
0.68228035819608 |
Real period |
R |
1.2699088686987 |
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 |
3192l2 25536cp2 19152w2 44688o2 |
Quadratic twists by: -4 8 -3 -7 |