Atkin-Lehner |
2- 3- 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
82650cj |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
6404083593750 = 2 · 33 · 58 · 192 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -2 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-179713,-29338333] |
[a1,a2,a3,a4,a6] |
j |
41081124160152649/409861350 |
j-invariant |
L |
2.7825063852838 |
L(r)(E,1)/r! |
Ω |
0.23187553476481 |
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 |
16530b2 |
Quadratic twists by: 5 |