Atkin-Lehner |
2+ 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16320p |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-3.124425016006E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-80945,269105457] |
[a1,a2,a3,a4,a6] |
j |
-3579968623693264/1906997690433375 |
j-invariant |
L |
1.0131975016631 |
L(r)(E,1)/r! |
Ω |
0.16886625027718 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16320cx1 2040f1 48960cj1 81600eb1 |
Quadratic twists by: -4 8 -3 5 |