Atkin-Lehner |
2+ 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4488b |
Isogeny class |
Conductor |
4488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1535542272 = -1 · 210 · 36 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -4 11- 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,264,828] |
[a1,a2,a3,a4,a6] |
j |
1979654684/1499553 |
j-invariant |
L |
1.9285143115249 |
L(r)(E,1)/r! |
Ω |
0.96425715576245 |
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 |
8976h2 35904bd2 13464q2 112200cp2 |
Quadratic twists by: -4 8 -3 5 |