Atkin-Lehner |
2+ 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
35568l |
Isogeny class |
Conductor |
35568 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-998791587226368 = -1 · 28 · 311 · 132 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 -6 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2415,-1521218] |
[a1,a2,a3,a4,a6] |
Generators |
[293:4788:1] |
Generators of the group modulo torsion |
j |
-8346562000/5351892507 |
j-invariant |
L |
3.4081086795531 |
L(r)(E,1)/r! |
Ω |
0.22223980940014 |
Real period |
R |
1.9169094236267 |
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 |
17784c2 11856l2 |
Quadratic twists by: -4 -3 |