Atkin-Lehner |
3- 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
10431b |
Isogeny class |
Conductor |
10431 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2946022495033311 = 326 · 19 · 61 |
Discriminant |
Eigenvalues |
-1 3- 2 0 4 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-66704,6111708] |
[a1,a2,a3,a4,a6] |
j |
45024169766542777/4041183120759 |
j-invariant |
L |
1.7589317587366 |
L(r)(E,1)/r! |
Ω |
0.43973293968415 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3477a3 |
Quadratic twists by: -3 |