Atkin-Lehner |
2- 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
82764l |
Isogeny class |
Conductor |
82764 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1824768 |
Modular degree for the optimal curve |
Δ |
-4.6920851849673E+19 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 11- 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1050159,-529330714] |
[a1,a2,a3,a4,a6] |
j |
-3201694672/1172889 |
j-invariant |
L |
0.87872703814911 |
L(r)(E,1)/r! |
Ω |
0.073227252747767 |
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 |
27588a1 82764p1 |
Quadratic twists by: -3 -11 |