Atkin-Lehner |
2- 3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44880cb |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
282234163200 = 212 · 3 · 52 · 11 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1816,-15916] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:120:1] |
Generators of the group modulo torsion |
j |
161789533849/68904825 |
j-invariant |
L |
4.9349183048124 |
L(r)(E,1)/r! |
Ω |
0.75986011335784 |
Real period |
R |
1.6236272367943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2805b1 |
Quadratic twists by: -4 |