Atkin-Lehner |
3- 7+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
17157i |
Isogeny class |
Conductor |
17157 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
27170357067 = 36 · 74 · 192 · 43 |
Discriminant |
Eigenvalues |
-1 3- 0 7+ -6 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-753,-666] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:93:1] |
Generators of the group modulo torsion |
j |
47222033748625/27170357067 |
j-invariant |
L |
3.3781107532648 |
L(r)(E,1)/r! |
Ω |
0.99144863604936 |
Real period |
R |
0.56787456092625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51471f2 120099c2 |
Quadratic twists by: -3 -7 |