Atkin-Lehner |
17- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
1717b |
Isogeny class |
Conductor |
1717 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
104 |
Modular degree for the optimal curve |
Δ |
1717 = 17 · 101 |
Discriminant |
Eigenvalues |
-2 -1 -2 -1 -3 -5 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4,4] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:2:1] [1:0:1] |
Generators of the group modulo torsion |
j |
8998912/1717 |
j-invariant |
L |
1.5015109202792 |
L(r)(E,1)/r! |
Ω |
4.4829106707263 |
Real period |
R |
0.33494107524472 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27472k1 109888k1 15453e1 42925b1 |
Quadratic twists by: -4 8 -3 5 |