Atkin-Lehner |
3+ 5- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
13065j |
Isogeny class |
Conductor |
13065 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
13826232225 = 36 · 52 · 132 · 672 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2455,-47500] |
[a1,a2,a3,a4,a6] |
j |
1636399197454321/13826232225 |
j-invariant |
L |
0.67858946378949 |
L(r)(E,1)/r! |
Ω |
0.67858946378949 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39195k2 65325l2 |
Quadratic twists by: -3 5 |