Atkin-Lehner |
2+ 3+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16008c |
Isogeny class |
Conductor |
16008 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-401096448 = -1 · 28 · 34 · 23 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 2 -6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,36,-972] |
[a1,a2,a3,a4,a6] |
Generators |
[18:72:1] |
Generators of the group modulo torsion |
j |
19600688/1566783 |
j-invariant |
L |
2.2607726360322 |
L(r)(E,1)/r! |
Ω |
0.80181753362548 |
Real period |
R |
1.4097799943398 |
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 |
32016i2 128064bh2 48024o2 |
Quadratic twists by: -4 8 -3 |