Atkin-Lehner |
2- 11- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
128986bc |
Isogeny class |
Conductor |
128986 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1267200 |
Modular degree for the optimal curve |
Δ |
-304142240871326 = -1 · 2 · 1111 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 1 1 -4 11- 13- 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-454660,117964078] |
[a1,a2,a3,a4,a6] |
Generators |
[1698966:17829055:5832] |
Generators of the group modulo torsion |
j |
-5867159620385881/171680366 |
j-invariant |
L |
11.377173103604 |
L(r)(E,1)/r! |
Ω |
0.50760069391192 |
Real period |
R |
11.206813793934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000164293 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11726a1 |
Quadratic twists by: -11 |