Atkin-Lehner |
2- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4420a |
Isogeny class |
Conductor |
4420 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-16316996644000000 = -1 · 28 · 56 · 132 · 176 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 0 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,62044,1566100] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:32500:27] |
Generators of the group modulo torsion |
j |
103175388897377456/63738268140625 |
j-invariant |
L |
1.9669407119631 |
L(r)(E,1)/r! |
Ω |
0.24175497551625 |
Real period |
R |
4.0680459787081 |
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 |
17680i4 70720m4 39780bb4 22100e4 |
Quadratic twists by: -4 8 -3 5 |