Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8670n |
Isogeny class |
Conductor |
8670 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
53364544423650 = 2 · 32 · 52 · 179 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15145051,-22692117001] |
[a1,a2,a3,a4,a6] |
j |
15916310615119911121/2210850 |
j-invariant |
L |
1.3775404953574 |
L(r)(E,1)/r! |
Ω |
0.076530027519857 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69360db4 26010t4 43350bc4 510g4 |
Quadratic twists by: -4 -3 5 17 |