Atkin-Lehner |
2- 3+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4416q |
Isogeny class |
Conductor |
4416 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
495170813952 = 216 · 33 · 234 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 -4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3009,-52767] |
[a1,a2,a3,a4,a6] |
j |
45989074372/7555707 |
j-invariant |
L |
1.3035394722129 |
L(r)(E,1)/r! |
Ω |
0.65176973610646 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4416n3 1104c3 13248bo3 110400it4 |
Quadratic twists by: -4 8 -3 5 |