Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6384bb |
Isogeny class |
Conductor |
6384 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
7545581568 = 212 · 36 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 2 0 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-768,-7308] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:18:1] |
Generators of the group modulo torsion |
j |
12246522625/1842183 |
j-invariant |
L |
4.7661489190948 |
L(r)(E,1)/r! |
Ω |
0.91594564557399 |
Real period |
R |
0.86725468593135 |
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 |
399b2 25536bu2 19152bk2 44688ch2 |
Quadratic twists by: -4 8 -3 -7 |