Atkin-Lehner |
2- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
30016bn |
Isogeny class |
Conductor |
30016 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
491782144 = 220 · 7 · 67 |
Discriminant |
Eigenvalues |
2- 1 -3 7+ -6 -5 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22489537,41043045439] |
[a1,a2,a3,a4,a6] |
Generators |
[1995741:44:729] |
Generators of the group modulo torsion |
j |
4798719371068773390577/1876 |
j-invariant |
L |
3.5453624634614 |
L(r)(E,1)/r! |
Ω |
0.46767517202277 |
Real period |
R |
3.7904112464715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30016t3 7504p3 |
Quadratic twists by: -4 8 |