Atkin-Lehner |
2- 3- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
17220i |
Isogeny class |
Conductor |
17220 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-141204000000 = -1 · 28 · 3 · 56 · 7 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1596,-31020] |
[a1,a2,a3,a4,a6] |
Generators |
[58690154:-2267866401:39304] |
Generators of the group modulo torsion |
j |
-1757334737104/551578125 |
j-invariant |
L |
5.343913531243 |
L(r)(E,1)/r! |
Ω |
0.37168406012485 |
Real period |
R |
14.37756983565 |
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 |
68880bj2 51660p2 86100h2 120540q2 |
Quadratic twists by: -4 -3 5 -7 |