Atkin-Lehner |
3+ 5+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
13065a |
Isogeny class |
Conductor |
13065 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
27422987401265625 = 34 · 56 · 136 · 672 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-75433,301648] |
[a1,a2,a3,a4,a6] |
Generators |
[-18262634:-490337885:195112] |
Generators of the group modulo torsion |
j |
47469739486993135129/27422987401265625 |
j-invariant |
L |
4.0683234546735 |
L(r)(E,1)/r! |
Ω |
0.31821542907438 |
Real period |
R |
12.78480891548 |
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 |
39195p2 65325t2 |
Quadratic twists by: -3 5 |