Atkin-Lehner |
3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
1785g |
Isogeny class |
Conductor |
1785 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
76531875 = 3 · 54 · 74 · 17 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 4 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-297,1806] |
[a1,a2,a3,a4,a6] |
j |
2912566550041/76531875 |
j-invariant |
L |
1.9290318556211 |
L(r)(E,1)/r! |
Ω |
1.9290318556211 |
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 |
28560dx4 114240dz4 5355h3 8925r3 |
Quadratic twists by: -4 8 -3 5 |