Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4488g |
Isogeny class |
Conductor |
4488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-644548608 = -1 · 211 · 32 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11+ -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-144,-1440] |
[a1,a2,a3,a4,a6] |
Generators |
[147:1782:1] |
Generators of the group modulo torsion |
j |
-162365474/314721 |
j-invariant |
L |
4.2729960571619 |
L(r)(E,1)/r! |
Ω |
0.64787349297674 |
Real period |
R |
3.2977086603196 |
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 |
8976f2 35904p2 13464k2 112200c2 |
Quadratic twists by: -4 8 -3 5 |