Atkin-Lehner |
3- 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
11169c |
Isogeny class |
Conductor |
11169 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-784365363 = -1 · 37 · 173 · 73 |
Discriminant |
Eigenvalues |
-1 3- -2 -1 -2 -2 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-176,1662] |
[a1,a2,a3,a4,a6] |
Generators |
[20:66:1] |
Generators of the group modulo torsion |
j |
-822656953/1075947 |
j-invariant |
L |
2.0433651340628 |
L(r)(E,1)/r! |
Ω |
1.4383454065473 |
Real period |
R |
0.23677265149728 |
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 |
3723a1 |
Quadratic twists by: -3 |