Atkin-Lehner |
2- 5+ 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
71440g |
Isogeny class |
Conductor |
71440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
5157968000000000 = 213 · 59 · 193 · 47 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 3 -1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-142896,20549696] |
[a1,a2,a3,a4,a6] |
j |
78782003196846769/1259269531250 |
j-invariant |
L |
1.7262163947919 |
L(r)(E,1)/r! |
Ω |
0.43155409582117 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8930l2 |
Quadratic twists by: -4 |