Atkin-Lehner |
2- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
12844g |
Isogeny class |
Conductor |
12844 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1584 |
Modular degree for the optimal curve |
Δ |
-667888 = -1 · 24 · 133 · 19 |
Discriminant |
Eigenvalues |
2- -2 0 -4 -2 13- 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,22,1] |
[a1,a2,a3,a4,a6] |
Generators |
[1:5:1] [4:13:1] |
Generators of the group modulo torsion |
j |
32000/19 |
j-invariant |
L |
4.4575842997361 |
L(r)(E,1)/r! |
Ω |
1.679449940865 |
Real period |
R |
0.44236550226691 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51376bb1 115596be1 12844f1 |
Quadratic twists by: -4 -3 13 |