Atkin-Lehner |
2+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
1666b |
Isogeny class |
Conductor |
1666 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-226579738504 = -1 · 23 · 78 · 173 |
Discriminant |
Eigenvalues |
2+ -2 3 7+ 0 2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1493,-5442] |
[a1,a2,a3,a4,a6] |
Generators |
[4:22:1] |
Generators of the group modulo torsion |
j |
63905303/39304 |
j-invariant |
L |
1.8599063993589 |
L(r)(E,1)/r! |
Ω |
0.57468565582974 |
Real period |
R |
1.0787963706718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13328j2 53312e2 14994cc2 41650bl2 |
Quadratic twists by: -4 8 -3 5 |