Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600c |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.21352256E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11552033,-14148756063] |
[a1,a2,a3,a4,a6] |
Generators |
[-78160576:-25862733:50653] |
Generators of the group modulo torsion |
j |
41623544884956481/2962701562500 |
j-invariant |
L |
4.1701311760301 |
L(r)(E,1)/r! |
Ω |
0.082258241034297 |
Real period |
R |
12.673900885527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001161 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81600hu6 2550h5 16320bb5 |
Quadratic twists by: -4 8 5 |