Atkin-Lehner |
2- 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
44720m |
Isogeny class |
Conductor |
44720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
444444130000 = 24 · 54 · 13 · 434 |
Discriminant |
Eigenvalues |
2- 0 5- -2 -6 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2092,18099] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:180:1] |
Generators of the group modulo torsion |
j |
63283249299456/27777758125 |
j-invariant |
L |
4.6394171708385 |
L(r)(E,1)/r! |
Ω |
0.84570448670179 |
Real period |
R |
2.7429304466147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11180a1 |
Quadratic twists by: -4 |