Atkin-Lehner |
2- 3+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
4464n |
Isogeny class |
Conductor |
4464 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-76857508233216 = -1 · 217 · 39 · 313 |
Discriminant |
Eigenvalues |
2- 3+ -3 4 3 5 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6939,476874] |
[a1,a2,a3,a4,a6] |
j |
-458314011/953312 |
j-invariant |
L |
2.1755670111619 |
L(r)(E,1)/r! |
Ω |
0.54389175279048 |
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 |
558f2 17856bm2 4464m1 111600cl2 |
Quadratic twists by: -4 8 -3 5 |