Atkin-Lehner |
2- 3+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
45084g |
Isogeny class |
Conductor |
45084 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
3660027862608 = 24 · 36 · 13 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 0 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3853,3286] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:289:1] |
Generators of the group modulo torsion |
j |
16384000/9477 |
j-invariant |
L |
4.4340434930591 |
L(r)(E,1)/r! |
Ω |
0.6675306036738 |
Real period |
R |
1.1070762071058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
156b1 |
Quadratic twists by: 17 |