Atkin-Lehner |
3- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
4743d |
Isogeny class |
Conductor |
4743 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
34335587259 = 37 · 17 · 314 |
Discriminant |
Eigenvalues |
1 3- -2 0 -4 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2628,51745] |
[a1,a2,a3,a4,a6] |
j |
2754008142913/47099571 |
j-invariant |
L |
1.1646701859194 |
L(r)(E,1)/r! |
Ω |
1.1646701859194 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
75888x3 1581b3 118575j3 80631c3 |
Quadratic twists by: -4 -3 5 17 |