Atkin-Lehner |
2+ 3- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
45552d |
Isogeny class |
Conductor |
45552 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
2302380288 = 28 · 36 · 132 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 4 13+ -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4148,-104196] |
[a1,a2,a3,a4,a6] |
j |
30839312338000/8993673 |
j-invariant |
L |
3.5693570550001 |
L(r)(E,1)/r! |
Ω |
0.59489284252552 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22776e1 |
Quadratic twists by: -4 |