Atkin-Lehner |
2- 3- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
4464u |
Isogeny class |
Conductor |
4464 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-347482224 = -1 · 24 · 36 · 313 |
Discriminant |
Eigenvalues |
2- 3- 3 1 -6 2 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,159,-457] |
[a1,a2,a3,a4,a6] |
Generators |
[22:117:1] |
Generators of the group modulo torsion |
j |
38112512/29791 |
j-invariant |
L |
4.3426037351833 |
L(r)(E,1)/r! |
Ω |
0.9494192687383 |
Real period |
R |
2.2869789344776 |
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 |
1116e2 17856bw2 496d2 111600dt2 |
Quadratic twists by: -4 8 -3 5 |