Atkin-Lehner |
3- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
5661c |
Isogeny class |
Conductor |
5661 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
157760 |
Modular degree for the optimal curve |
Δ |
-1.8299402664842E+20 |
Discriminant |
Eigenvalues |
0 3- 1 -2 1 5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6752082,6784413813] |
[a1,a2,a3,a4,a6] |
j |
-46699185669641238052864/251020612686449979 |
j-invariant |
L |
1.4469269858306 |
L(r)(E,1)/r! |
Ω |
0.18086587322883 |
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 |
90576v1 1887b1 96237k1 |
Quadratic twists by: -4 -3 17 |