Atkin-Lehner |
3+ 11- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
80223c |
Isogeny class |
Conductor |
80223 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1184438135054889 = 34 · 116 · 134 · 172 |
Discriminant |
Eigenvalues |
1 3+ -2 0 11- 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-65826,-6313545] |
[a1,a2,a3,a4,a6] |
j |
17806161424897/668584449 |
j-invariant |
L |
0.59749171249976 |
L(r)(E,1)/r! |
Ω |
0.29874583774197 |
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 |
663b2 |
Quadratic twists by: -11 |