Atkin-Lehner |
2- 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
4464y |
Isogeny class |
Conductor |
4464 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-29288304 = -1 · 24 · 310 · 31 |
Discriminant |
Eigenvalues |
2- 3- 3 5 2 -4 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21,263] |
[a1,a2,a3,a4,a6] |
j |
-87808/2511 |
j-invariant |
L |
3.5039136281127 |
L(r)(E,1)/r! |
Ω |
1.7519568140564 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1116b1 17856cj1 1488l1 111600fp1 |
Quadratic twists by: -4 8 -3 5 |