Atkin-Lehner |
2+ 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
6384c |
Isogeny class |
Conductor |
6384 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
366799104 = 28 · 34 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-204,-576] |
[a1,a2,a3,a4,a6] |
j |
3685542352/1432809 |
j-invariant |
L |
1.3052167006767 |
L(r)(E,1)/r! |
Ω |
1.3052167006767 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3192i2 25536ct2 19152r2 44688bb2 |
Quadratic twists by: -4 8 -3 -7 |