Atkin-Lehner |
3- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
4221d |
Isogeny class |
Conductor |
4221 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
204606973032410529 = 318 · 76 · 672 |
Discriminant |
Eigenvalues |
1 3- -2 7+ 4 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-168588,15412275] |
[a1,a2,a3,a4,a6] |
Generators |
[188702278:12932804849:39304] |
Generators of the group modulo torsion |
j |
726904920233564353/280668001416201 |
j-invariant |
L |
3.8851681768327 |
L(r)(E,1)/r! |
Ω |
0.2887607914689 |
Real period |
R |
13.454625044727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
67536bw2 1407c2 105525x2 29547y2 |
Quadratic twists by: -4 -3 5 -7 |