Atkin-Lehner |
2+ 3+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
19032a |
Isogeny class |
Conductor |
19032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1931824128 = 210 · 3 · 132 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 -4 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-328,988] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:52:1] [-3:44:1] |
Generators of the group modulo torsion |
j |
3822686500/1886547 |
j-invariant |
L |
5.737436728884 |
L(r)(E,1)/r! |
Ω |
1.3115481074886 |
Real period |
R |
2.1872765078635 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38064j2 57096l2 |
Quadratic twists by: -4 -3 |