Atkin-Lehner |
17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
76313b |
Isogeny class |
Conductor |
76313 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1537792496873 = 17 · 676 |
Discriminant |
Eigenvalues |
1 0 2 -4 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-407096,100077275] |
[a1,a2,a3,a4,a6] |
Generators |
[-8134594:-99933855:12167] |
Generators of the group modulo torsion |
j |
82483294977/17 |
j-invariant |
L |
6.0528267012284 |
L(r)(E,1)/r! |
Ω |
0.67089084480879 |
Real period |
R |
9.0220737791497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002656 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17a3 |
Quadratic twists by: -67 |