Atkin-Lehner |
2+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19264b |
Isogeny class |
Conductor |
19264 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
1933180928 = 217 · 73 · 43 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2517164,1537146928] |
[a1,a2,a3,a4,a6] |
Generators |
[337940280:18941402548:91125] |
Generators of the group modulo torsion |
j |
13457002144177215234/14749 |
j-invariant |
L |
4.9099753899633 |
L(r)(E,1)/r! |
Ω |
0.65711969330093 |
Real period |
R |
14.943930124203 |
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 |
19264r3 2408c4 |
Quadratic twists by: -4 8 |