Atkin-Lehner |
2- 11+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
11726i |
Isogeny class |
Conductor |
11726 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-1045646051260096 = -1 · 26 · 119 · 132 · 41 |
Discriminant |
Eigenvalues |
2- 0 1 3 11+ 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-63502,-6336803] |
[a1,a2,a3,a4,a6] |
Generators |
[445:7083:1] |
Generators of the group modulo torsion |
j |
-28319104195866315441/1045646051260096 |
j-invariant |
L |
7.5182721214245 |
L(r)(E,1)/r! |
Ω |
0.15004890354529 |
Real period |
R |
4.1754565477132 |
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 |
93808bh1 105534p1 128986k1 |
Quadratic twists by: -4 -3 -11 |