Atkin-Lehner |
2+ 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
16960g |
Isogeny class |
Conductor |
16960 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-11505664000000 = -1 · 218 · 56 · 532 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 0 6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8492,342576] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:800:1] |
Generators of the group modulo torsion |
j |
-258353141409/43890625 |
j-invariant |
L |
5.6160289134196 |
L(r)(E,1)/r! |
Ω |
0.68974097893603 |
Real period |
R |
0.67851907273011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16960r2 265a2 84800a2 |
Quadratic twists by: -4 8 5 |