Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
16320bx |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
59927040000 = 212 · 34 · 54 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1241,12441] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:144:1] |
Generators of the group modulo torsion |
j |
51645087424/14630625 |
j-invariant |
L |
3.2713087568089 |
L(r)(E,1)/r! |
Ω |
1.0336681675942 |
Real period |
R |
1.5823785908115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16320cq2 8160r1 48960fo2 81600ie2 |
Quadratic twists by: -4 8 -3 5 |