Atkin-Lehner |
3- 7- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
56637i |
Isogeny class |
Conductor |
56637 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
3858169077 = 36 · 7 · 293 · 31 |
Discriminant |
Eigenvalues |
0 3- 0 7- 3 -1 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-570,-4302] |
[a1,a2,a3,a4,a6] |
j |
28094464000/5292413 |
j-invariant |
L |
1.9796530898081 |
L(r)(E,1)/r! |
Ω |
0.98982654535227 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6293f1 |
Quadratic twists by: -3 |