Atkin-Lehner |
3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
16905p |
Isogeny class |
Conductor |
16905 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
686155439025 = 32 · 52 · 78 · 232 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13157,-585024] |
[a1,a2,a3,a4,a6] |
j |
2141202151369/5832225 |
j-invariant |
L |
0.89167611303554 |
L(r)(E,1)/r! |
Ω |
0.44583805651777 |
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 |
50715s2 84525ca2 2415e2 |
Quadratic twists by: -3 5 -7 |