Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
17328bc |
Isogeny class |
Conductor |
17328 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
2149999206137856 = 216 · 314 · 193 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 2 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39792,-2100780] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:810:1] |
Generators of the group modulo torsion |
j |
248028267187/76527504 |
j-invariant |
L |
6.6220251340033 |
L(r)(E,1)/r! |
Ω |
0.34616802435674 |
Real period |
R |
1.3663936643625 |
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 |
2166f2 69312ci2 51984cf2 17328q2 |
Quadratic twists by: -4 8 -3 -19 |