Atkin-Lehner |
2+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44200c |
Isogeny class |
Conductor |
44200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5646019600000000 = -1 · 210 · 58 · 132 · 174 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 2 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-156008,23939488] |
[a1,a2,a3,a4,a6] |
Generators |
[-132:6500:1] |
Generators of the group modulo torsion |
j |
-26245032877444/352876225 |
j-invariant |
L |
4.8222143934352 |
L(r)(E,1)/r! |
Ω |
0.42888502002194 |
Real period |
R |
1.4054508109149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88400c2 8840e2 |
Quadratic twists by: -4 5 |