Atkin-Lehner |
2- 3- 7- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
81774ci |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
-6.2179413247951E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4297820,3634288575] |
[a1,a2,a3,a4,a6] |
Generators |
[41:-58827:1] |
Generators of the group modulo torsion |
j |
-12043168332427995477625/852941196816885792 |
j-invariant |
L |
11.731753244382 |
L(r)(E,1)/r! |
Ω |
0.15965131036362 |
Real period |
R |
0.45927250824686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27258c2 |
Quadratic twists by: -3 |