Atkin-Lehner |
2+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
19136l |
Isogeny class |
Conductor |
19136 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
28168192 = 212 · 13 · 232 |
Discriminant |
Eigenvalues |
2+ 0 0 -4 4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-100,288] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:24:1] |
Generators of the group modulo torsion |
j |
27000000/6877 |
j-invariant |
L |
3.9661290197477 |
L(r)(E,1)/r! |
Ω |
1.9692346171418 |
Real period |
R |
2.0140459573599 |
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 |
19136j2 9568a1 |
Quadratic twists by: -4 8 |