Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
1710j |
Isogeny class |
Conductor |
1710 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
2.7466979370117E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -6 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4169079,-2091148947] |
[a1,a2,a3,a4,a6] |
j |
10993009831928446009969/3767761230468750000 |
j-invariant |
L |
1.3031982895665 |
L(r)(E,1)/r! |
Ω |
0.10859985746387 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
13680bo4 54720t4 570k4 8550be4 |
Quadratic twists by: -4 8 -3 5 |