Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
4416m |
Isogeny class |
Conductor |
4416 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
Δ |
10608787103514624 = 215 · 37 · 236 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 -2 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-77089,6555551] |
[a1,a2,a3,a4,a6] |
Generators |
[5:2484:1] |
Generators of the group modulo torsion |
j |
1546167879660104/323754489243 |
j-invariant |
L |
3.720455906823 |
L(r)(E,1)/r! |
Ω |
0.38358103960781 |
Real period |
R |
0.46186997973808 |
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 |
4416f2 2208h2 13248g2 110400j2 |
Quadratic twists by: -4 8 -3 5 |