Atkin-Lehner |
3- 5+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
17355i |
Isogeny class |
Conductor |
17355 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10176 |
Modular degree for the optimal curve |
Δ |
3074386185 = 312 · 5 · 13 · 89 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-364,-43] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:44:1] |
Generators of the group modulo torsion |
j |
5312655169849/3074386185 |
j-invariant |
L |
5.1529924046703 |
L(r)(E,1)/r! |
Ω |
1.2002534285159 |
Real period |
R |
1.4310845477142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52065r1 86775a1 |
Quadratic twists by: -3 5 |