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 |
deg |
840 |
Modular degree for the optimal curve |
Δ |
-196003234 = -1 · 2 · 78 · 17 |
Discriminant |
Eigenvalues |
2+ -2 3 7+ 0 2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-222,1418] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:38:1] |
Generators of the group modulo torsion |
j |
-208537/34 |
j-invariant |
L |
1.8599063993589 |
L(r)(E,1)/r! |
Ω |
1.7240569674892 |
Real period |
R |
3.2363891120155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
13328j1 53312e1 14994cc1 41650bl1 |
Quadratic twists by: -4 8 -3 5 |