Atkin-Lehner |
3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
1785g |
Isogeny class |
Conductor |
1785 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-236782035 = -1 · 34 · 5 · 7 · 174 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 4 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,133,-396] |
[a1,a2,a3,a4,a6] |
j |
257138126279/236782035 |
j-invariant |
L |
1.9290318556211 |
L(r)(E,1)/r! |
Ω |
0.96451592781057 |
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 |
28560dx3 114240dz3 5355h4 8925r4 |
Quadratic twists by: -4 8 -3 5 |