Atkin-Lehner |
2+ 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
68544p |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
268631064576 = 214 · 39 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -2 -2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10044,-386640] |
[a1,a2,a3,a4,a6] |
j |
347482224/833 |
j-invariant |
L |
1.9078552841772 |
L(r)(E,1)/r! |
Ω |
0.47696382365255 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68544cu2 4284c2 68544v2 |
Quadratic twists by: -4 8 -3 |