Atkin-Lehner |
2+ 5+ 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
17290b |
Isogeny class |
Conductor |
17290 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6906804486400 = 28 · 52 · 72 · 132 · 194 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 0 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-67390,-6715500] |
[a1,a2,a3,a4,a6] |
j |
33846495359800002489/6906804486400 |
j-invariant |
L |
1.1852656487683 |
L(r)(E,1)/r! |
Ω |
0.29631641219207 |
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 |
86450bj2 121030r2 |
Quadratic twists by: 5 -7 |