Atkin-Lehner |
2+ 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17856y |
Isogeny class |
Conductor |
17856 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-32826695738720256 = -1 · 219 · 37 · 315 |
Discriminant |
Eigenvalues |
2+ 3- 1 -2 -3 1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-803532,277375088] |
[a1,a2,a3,a4,a6] |
Generators |
[494:992:1] |
Generators of the group modulo torsion |
j |
-300238092661681/171774906 |
j-invariant |
L |
4.7321144448494 |
L(r)(E,1)/r! |
Ω |
0.36478880982933 |
Real period |
R |
0.32430507168404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17856bq2 558d2 5952f2 |
Quadratic twists by: -4 8 -3 |