Atkin-Lehner |
3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
16245d |
Isogeny class |
Conductor |
16245 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1736257641980625 = 310 · 54 · 196 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32558,-1037644] |
[a1,a2,a3,a4,a6] |
Generators |
[17295:2265652:1] |
Generators of the group modulo torsion |
j |
111284641/50625 |
j-invariant |
L |
3.0506545649073 |
L(r)(E,1)/r! |
Ω |
0.37102880979465 |
Real period |
R |
4.1110750491257 |
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 |
5415k4 81225z3 45a4 |
Quadratic twists by: -3 5 -19 |