Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
4416o |
Isogeny class |
Conductor |
4416 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
104005632 = 216 · 3 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -4 2 0 -2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-225,-1281] |
[a1,a2,a3,a4,a6] |
Generators |
[29:132:1] |
Generators of the group modulo torsion |
j |
19307236/1587 |
j-invariant |
L |
3.6428684601736 |
L(r)(E,1)/r! |
Ω |
1.2386714320269 |
Real period |
R |
2.9409481529841 |
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 |
4416r2 552c2 13248k2 110400k2 |
Quadratic twists by: -4 8 -3 5 |