Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13680bk |
Isogeny class |
Conductor |
13680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
88646400 = 28 · 36 · 52 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -4 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-927,-10854] |
[a1,a2,a3,a4,a6] |
j |
472058064/475 |
j-invariant |
L |
1.7305567816445 |
L(r)(E,1)/r! |
Ω |
0.86527839082224 |
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 |
3420d2 54720dw2 1520f2 68400eo2 |
Quadratic twists by: -4 8 -3 5 |