Atkin-Lehner |
2+ 3- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
4464d |
Isogeny class |
Conductor |
4464 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
-2372352624 = -1 · 24 · 314 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 -6 0 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,69,2333] |
[a1,a2,a3,a4,a6] |
j |
3114752/203391 |
j-invariant |
L |
2.2159827596864 |
L(r)(E,1)/r! |
Ω |
1.1079913798432 |
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 |
2232l1 17856bx1 1488a1 111600x1 |
Quadratic twists by: -4 8 -3 5 |