Atkin-Lehner |
2- 3+ 5- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
82650bw |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
242362543605468750 = 2 · 35 · 59 · 192 · 294 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-282388,52561031] |
[a1,a2,a3,a4,a6] |
j |
1275065461409453/124089622326 |
j-invariant |
L |
4.8611475250711 |
L(r)(E,1)/r! |
Ω |
0.30382172020625 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82650bc2 |
Quadratic twists by: 5 |