Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14450c |
Isogeny class |
Conductor |
14450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-1.680747204608E+21 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 0 1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2882624,-584559602] |
[a1,a2,a3,a4,a6] |
Generators |
[8492:793441:1] |
Generators of the group modulo torsion |
j |
7023836099951/4456448000 |
j-invariant |
L |
4.3453166322287 |
L(r)(E,1)/r! |
Ω |
0.085853390673984 |
Real period |
R |
6.326652619827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115600bo1 2890q1 850a1 |
Quadratic twists by: -4 5 17 |