Atkin-Lehner |
2+ 11+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
11726a |
Isogeny class |
Conductor |
11726 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
-171680366 = -1 · 2 · 115 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ 1 1 4 11+ 13+ -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3758,-88970] |
[a1,a2,a3,a4,a6] |
Generators |
[445979534:-11388081921:704969] |
Generators of the group modulo torsion |
j |
-5867159620385881/171680366 |
j-invariant |
L |
4.7202203538643 |
L(r)(E,1)/r! |
Ω |
0.30489018741144 |
Real period |
R |
15.481706361033 |
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 |
93808bg1 105534bn1 128986bc1 |
Quadratic twists by: -4 -3 -11 |