Atkin-Lehner |
2- 3- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
4464t |
Isogeny class |
Conductor |
4464 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-33627312 = -1 · 24 · 37 · 312 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-84,407] |
[a1,a2,a3,a4,a6] |
Generators |
[1:18:1] |
Generators of the group modulo torsion |
j |
-5619712/2883 |
j-invariant |
L |
3.7979573233785 |
L(r)(E,1)/r! |
Ω |
1.9289159667296 |
Real period |
R |
0.98447972562998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1116d1 17856bu1 1488i1 111600ef1 |
Quadratic twists by: -4 8 -3 5 |