Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16320b |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
579561062400 = 219 · 32 · 52 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3353921,-2363045055] |
[a1,a2,a3,a4,a6] |
Generators |
[889063:27335776:343] |
Generators of the group modulo torsion |
j |
15916310615119911121/2210850 |
j-invariant |
L |
4.3916141699572 |
L(r)(E,1)/r! |
Ω |
0.11156072724487 |
Real period |
R |
9.8413085823605 |
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 |
16320cl4 510g4 48960da4 81600dy4 |
Quadratic twists by: -4 8 -3 5 |