Atkin-Lehner |
5+ 11+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13585b |
Isogeny class |
Conductor |
13585 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2186457319475 = 52 · 11 · 132 · 196 |
Discriminant |
Eigenvalues |
1 0 5+ -4 11+ 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9200,334425] |
[a1,a2,a3,a4,a6] |
Generators |
[80:285:1] |
Generators of the group modulo torsion |
j |
86121928688429529/2186457319475 |
j-invariant |
L |
3.5773695806009 |
L(r)(E,1)/r! |
Ω |
0.82071160719964 |
Real period |
R |
2.1794315745133 |
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 |
122265bd2 67925h2 |
Quadratic twists by: -3 5 |