Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16320bg |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
369470177280 = 215 · 33 · 5 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6145,181055] |
[a1,a2,a3,a4,a6] |
Generators |
[53:84:1] |
Generators of the group modulo torsion |
j |
783267508232/11275335 |
j-invariant |
L |
6.4874582908824 |
L(r)(E,1)/r! |
Ω |
0.95666834778678 |
Real period |
R |
2.2604344566888 |
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 |
16320k3 8160a3 48960bx4 81600t4 |
Quadratic twists by: -4 8 -3 5 |