Atkin-Lehner |
3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
1785o |
Isogeny class |
Conductor |
1785 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-16074715228425 = -1 · 38 · 52 · 78 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1785,194922] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:273:1] |
Generators of the group modulo torsion |
j |
-629004249876241/16074715228425 |
j-invariant |
L |
2.3616383858566 |
L(r)(E,1)/r! |
Ω |
0.58350917126968 |
Real period |
R |
2.023651471251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
28560cv3 114240bh3 5355f4 8925b4 |
Quadratic twists by: -4 8 -3 5 |