Atkin-Lehner |
3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
17325m |
Isogeny class |
Conductor |
17325 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-39797419921875 = -1 · 37 · 59 · 7 · 113 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 11- 4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-189300,31702531] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:6187:1] |
Generators of the group modulo torsion |
j |
-65860951343104/3493875 |
j-invariant |
L |
4.0744897014456 |
L(r)(E,1)/r! |
Ω |
0.61023835497687 |
Real period |
R |
0.13910171561843 |
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 |
5775a2 3465s2 121275dx2 |
Quadratic twists by: -3 5 -7 |