Atkin-Lehner |
2+ 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
4464g |
Isogeny class |
Conductor |
4464 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-263594736 = -1 · 24 · 312 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 1 3 -4 -2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-867,9857] |
[a1,a2,a3,a4,a6] |
Generators |
[16:9:1] |
Generators of the group modulo torsion |
j |
-6179217664/22599 |
j-invariant |
L |
4.1147599139402 |
L(r)(E,1)/r! |
Ω |
1.7529784635285 |
Real period |
R |
1.1736481649803 |
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 |
2232b1 17856cc1 1488b1 111600br1 |
Quadratic twists by: -4 8 -3 5 |