Atkin-Lehner |
3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3705f |
Isogeny class |
Conductor |
3705 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
219984375 = 3 · 56 · 13 · 192 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 0 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-159,271] |
[a1,a2,a3,a4,a6] |
j |
440537367529/219984375 |
j-invariant |
L |
1.5691231442789 |
L(r)(E,1)/r! |
Ω |
1.5691231442789 |
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 |
59280ba2 11115g2 18525e2 48165bc2 |
Quadratic twists by: -4 -3 5 13 |