Atkin-Lehner |
2- 3- 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
82650ck |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
27688411200000000 = 212 · 3 · 58 · 193 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 -6 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-252463,48143417] |
[a1,a2,a3,a4,a6] |
j |
113892993911752489/1772058316800 |
j-invariant |
L |
4.5028130616936 |
L(r)(E,1)/r! |
Ω |
0.375234426785 |
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 |
16530c1 |
Quadratic twists by: 5 |