Atkin-Lehner |
2+ 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
4464f |
Isogeny class |
Conductor |
4464 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
-3254256 = -1 · 24 · 38 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 1 -1 0 -6 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,33,-47] |
[a1,a2,a3,a4,a6] |
Generators |
[8:27:1] |
Generators of the group modulo torsion |
j |
340736/279 |
j-invariant |
L |
3.7710201472526 |
L(r)(E,1)/r! |
Ω |
1.3941999762048 |
Real period |
R |
1.3523957149669 |
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 |
2232i1 17856cb1 1488e1 111600bi1 |
Quadratic twists by: -4 8 -3 5 |