Atkin-Lehner |
2+ 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6384a |
Isogeny class |
Conductor |
6384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1886395392 = 210 · 36 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ -2 -4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-320,816] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:54:1] |
Generators of the group modulo torsion |
j |
3550014724/1842183 |
j-invariant |
L |
2.1439372837321 |
L(r)(E,1)/r! |
Ω |
1.303589149912 |
Real period |
R |
0.82232092982548 |
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 |
3192p2 25536cz2 19152o2 44688bj2 |
Quadratic twists by: -4 8 -3 -7 |