Atkin-Lehner |
2+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
4544c |
Isogeny class |
Conductor |
4544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
187648442368 = 219 · 713 |
Discriminant |
Eigenvalues |
2+ -1 0 -1 0 1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3713,-83327] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:32:1] |
Generators of the group modulo torsion |
j |
21601086625/715822 |
j-invariant |
L |
2.9381292369717 |
L(r)(E,1)/r! |
Ω |
0.61283108011465 |
Real period |
R |
1.198588539448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4544o2 142d2 40896u2 113600b2 |
Quadratic twists by: -4 8 -3 5 |