Atkin-Lehner |
2- 3+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
63168cb |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9120448512 = 216 · 32 · 7 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -2 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5313,-147231] |
[a1,a2,a3,a4,a6] |
Generators |
[155:1652:1] |
Generators of the group modulo torsion |
j |
253130786500/139167 |
j-invariant |
L |
5.132141672562 |
L(r)(E,1)/r! |
Ω |
0.55920638322109 |
Real period |
R |
4.5887724341372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998537 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168bj2 15792g2 |
Quadratic twists by: -4 8 |