Atkin-Lehner |
2- 3- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55692u |
Isogeny class |
Conductor |
55692 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
9738960 |
Modular degree for the optimal curve |
Δ |
-2.0776243816772E+23 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ -1 13- 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57972708,171305655705] |
[a1,a2,a3,a4,a6] |
j |
-1847340550827988392001536/17812280364173348963 |
j-invariant |
L |
3.3189774842253 |
L(r)(E,1)/r! |
Ω |
0.10057507529445 |
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 |
6188c1 |
Quadratic twists by: -3 |