Atkin-Lehner |
2- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27968bu |
Isogeny class |
Conductor |
27968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
916455424 = 221 · 19 · 23 |
Discriminant |
Eigenvalues |
2- -1 1 2 5 -6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2465,-46271] |
[a1,a2,a3,a4,a6] |
Generators |
[-753:64:27] |
Generators of the group modulo torsion |
j |
6321363049/3496 |
j-invariant |
L |
4.9707378856715 |
L(r)(E,1)/r! |
Ω |
0.67755578686779 |
Real period |
R |
1.8340696006192 |
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 |
27968c1 6992i1 |
Quadratic twists by: -4 8 |