Atkin-Lehner |
2+ 3- 5- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
82650bd |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4689792 |
Modular degree for the optimal curve |
Δ |
-1.5939971847291E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 5 5 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-109751,192588698] |
[a1,a2,a3,a4,a6] |
j |
-233917904365884025/25503954955665408 |
j-invariant |
L |
4.3446353689726 |
L(r)(E,1)/r! |
Ω |
0.18102647180241 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82650bm1 |
Quadratic twists by: 5 |