Atkin-Lehner |
11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
20339f |
Isogeny class |
Conductor |
20339 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15960 |
Modular degree for the optimal curve |
Δ |
-69534993539 = -1 · 11 · 436 |
Discriminant |
Eigenvalues |
2 1 -1 2 11- 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-616,-14193] |
[a1,a2,a3,a4,a6] |
Generators |
[12668014068:22433242179:379503424] |
Generators of the group modulo torsion |
j |
-4096/11 |
j-invariant |
L |
11.881446535569 |
L(r)(E,1)/r! |
Ω |
0.44493489692114 |
Real period |
R |
13.351893296959 |
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: -43 |