Atkin-Lehner |
2- 7- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
44744c |
Isogeny class |
Conductor |
44744 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
728064 |
Modular degree for the optimal curve |
Δ |
9993751582180352 = 210 · 76 · 17 · 474 |
Discriminant |
Eigenvalues |
2- -2 0 7- 6 6 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-672568,-212471040] |
[a1,a2,a3,a4,a6] |
j |
32857385408334710500/9759523029473 |
j-invariant |
L |
2.0005731612095 |
L(r)(E,1)/r! |
Ω |
0.1667144300724 |
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 |
89488a1 |
Quadratic twists by: -4 |