Atkin-Lehner |
2- 3+ 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44880bt |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
14111708160000 = 213 · 3 · 54 · 11 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11+ 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8040,-207888] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:250:1] |
Generators of the group modulo torsion |
j |
14034143923561/3445241250 |
j-invariant |
L |
4.229543941296 |
L(r)(E,1)/r! |
Ω |
0.51321312888822 |
Real period |
R |
2.0603252836032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610s4 |
Quadratic twists by: -4 |