Atkin-Lehner |
2- 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
44720n |
Isogeny class |
Conductor |
44720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-228966400 = -1 · 214 · 52 · 13 · 43 |
Discriminant |
Eigenvalues |
2- 0 5- 4 6 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,133,426] |
[a1,a2,a3,a4,a6] |
Generators |
[141:1680:1] |
Generators of the group modulo torsion |
j |
63521199/55900 |
j-invariant |
L |
7.4911508175212 |
L(r)(E,1)/r! |
Ω |
1.1494181362863 |
Real period |
R |
3.2586708792195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5590f1 |
Quadratic twists by: -4 |