Atkin-Lehner |
5+ 7- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
17255c |
Isogeny class |
Conductor |
17255 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-347218586155 = -1 · 5 · 75 · 173 · 292 |
Discriminant |
Eigenvalues |
0 0 5+ 7- 4 -5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1612,13534] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:101:1] |
Generators of the group modulo torsion |
j |
463253623013376/347218586155 |
j-invariant |
L |
3.3915040476024 |
L(r)(E,1)/r! |
Ω |
0.61291812273299 |
Real period |
R |
0.55333721125422 |
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 |
86275b1 120785m1 |
Quadratic twists by: 5 -7 |