Atkin-Lehner |
3+ 11- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
17589a |
Isogeny class |
Conductor |
17589 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
231168 |
Modular degree for the optimal curve |
Δ |
-345236166000499059 = -1 · 32 · 117 · 134 · 413 |
Discriminant |
Eigenvalues |
-1 3+ 3 3 11- 13- -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,174161,-3994576] |
[a1,a2,a3,a4,a6] |
Generators |
[812:25548:1] |
Generators of the group modulo torsion |
j |
584219818286766973583/345236166000499059 |
j-invariant |
L |
3.7623982578866 |
L(r)(E,1)/r! |
Ω |
0.17779918166214 |
Real period |
R |
0.3778739730322 |
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 |
52767e1 |
Quadratic twists by: -3 |