Atkin-Lehner |
2- 3+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
69312ci |
Isogeny class |
Conductor |
69312 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
137599949192822784 = 222 · 314 · 193 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 -2 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-159169,-16647071] |
[a1,a2,a3,a4,a6] |
j |
248028267187/76527504 |
j-invariant |
L |
0.97911104524858 |
L(r)(E,1)/r! |
Ω |
0.2447777574526 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69312bh2 17328bc2 69312de2 |
Quadratic twists by: -4 8 -19 |