Atkin-Lehner |
2+ 5- 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
17290g |
Isogeny class |
Conductor |
17290 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-13661027904160 = -1 · 25 · 5 · 72 · 136 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 0 13- 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5234,-228620] |
[a1,a2,a3,a4,a6] |
j |
-15858844471990521/13661027904160 |
j-invariant |
L |
1.6250777069907 |
L(r)(E,1)/r! |
Ω |
0.27084628449845 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86450bh2 121030d2 |
Quadratic twists by: 5 -7 |