Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
44688dk |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
436077956579328 = 214 · 35 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 2 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-71752,7305332] |
[a1,a2,a3,a4,a6] |
Generators |
[44:2058:1] |
Generators of the group modulo torsion |
j |
84778086457/904932 |
j-invariant |
L |
8.9542365458541 |
L(r)(E,1)/r! |
Ω |
0.53144098453133 |
Real period |
R |
0.84244881430835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999871 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5586d1 6384x1 |
Quadratic twists by: -4 -7 |