Atkin-Lehner |
2- 3+ 5- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
16530w |
Isogeny class |
Conductor |
16530 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1032614521862400 = 28 · 312 · 52 · 192 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-25765,-389653] |
[a1,a2,a3,a4,a6] |
j |
1891538590393233361/1032614521862400 |
j-invariant |
L |
3.2186179945844 |
L(r)(E,1)/r! |
Ω |
0.40232724932305 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
49590l2 82650s2 |
Quadratic twists by: -3 5 |