Atkin-Lehner |
2- 3- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
17748f |
Isogeny class |
Conductor |
17748 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-201256891667712 = -1 · 28 · 38 · 173 · 293 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 0 -1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12705,-402554] |
[a1,a2,a3,a4,a6] |
Generators |
[194:3060:1] |
Generators of the group modulo torsion |
j |
1215290846000/1078408413 |
j-invariant |
L |
4.8054088364469 |
L(r)(E,1)/r! |
Ω |
0.31019933978155 |
Real period |
R |
2.581892899273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
70992bh2 5916a2 |
Quadratic twists by: -4 -3 |