Atkin-Lehner |
2- 3- 5- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17670bb |
Isogeny class |
Conductor |
17670 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
Δ |
288395676136025670 = 2 · 3 · 5 · 199 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 3 5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1307624145,-18200156001645] |
[a1,a2,a3,a4,a6] |
j |
247270613043280364880287393857681/288395676136025670 |
j-invariant |
L |
6.1007762253208 |
L(r)(E,1)/r! |
Ω |
0.02510607500132 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53010n3 88350k3 |
Quadratic twists by: -3 5 |