Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17136k |
Isogeny class |
Conductor |
17136 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-466373376 = -1 · 28 · 37 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 5 -3 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-804,-8836] |
[a1,a2,a3,a4,a6] |
Generators |
[73:567:1] |
Generators of the group modulo torsion |
j |
-307981312/2499 |
j-invariant |
L |
4.3399591341199 |
L(r)(E,1)/r! |
Ω |
0.44806930050773 |
Real period |
R |
2.4214776203157 |
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 |
8568d1 68544eo1 5712h1 119952bp1 |
Quadratic twists by: -4 8 -3 -7 |