Atkin-Lehner |
2- 3+ 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44880bt |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-4963368960 = -1 · 216 · 34 · 5 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11+ 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,120,3312] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:54:1] |
Generators of the group modulo torsion |
j |
46268279/1211760 |
j-invariant |
L |
4.229543941296 |
L(r)(E,1)/r! |
Ω |
1.0264262577764 |
Real period |
R |
2.0603252836032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610s1 |
Quadratic twists by: -4 |