Atkin-Lehner |
5+ 7+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19565a |
Isogeny class |
Conductor |
19565 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
382789225 = 52 · 72 · 132 · 432 |
Discriminant |
Eigenvalues |
-1 0 5+ 7+ -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-933,11156] |
[a1,a2,a3,a4,a6] |
Generators |
[8:60:1] |
Generators of the group modulo torsion |
j |
89728866408609/382789225 |
j-invariant |
L |
1.9017632961663 |
L(r)(E,1)/r! |
Ω |
1.7000945002181 |
Real period |
R |
1.11862210949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
97825o2 |
Quadratic twists by: 5 |