Atkin-Lehner |
11- 107- |
Signs for the Atkin-Lehner involutions |
Class |
125939a |
Isogeny class |
Conductor |
125939 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
240408 |
Modular degree for the optimal curve |
Δ |
-16508033870339 = -1 · 11 · 1076 |
Discriminant |
Eigenvalues |
2 -1 -1 2 11- 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3816,-214245] |
[a1,a2,a3,a4,a6] |
Generators |
[85634539199790:-13293252801295991:3553559576] |
Generators of the group modulo torsion |
j |
-4096/11 |
j-invariant |
L |
11.327245459112 |
L(r)(E,1)/r! |
Ω |
0.28205825088412 |
Real period |
R |
20.079620829398 |
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 |
11a3 |
Quadratic twists by: -107 |