Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
1710s |
Isogeny class |
Conductor |
1710 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
587272680977132160 = 27 · 326 · 5 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11100992,14238819299] |
[a1,a2,a3,a4,a6] |
j |
207530301091125281552569/805586668007040 |
j-invariant |
L |
3.5691849063025 |
L(r)(E,1)/r! |
Ω |
0.2549417790216 |
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 |
13680bx3 54720bl4 570d3 8550h4 |
Quadratic twists by: -4 8 -3 5 |