Atkin-Lehner |
11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20449a |
Isogeny class |
Conductor |
20449 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-11381363136448019 = -1 · 119 · 136 |
Discriminant |
Eigenvalues |
0 -1 3 0 11+ 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-149959,-22883378] |
[a1,a2,a3,a4,a6] |
Generators |
[39620:7885793:1] |
Generators of the group modulo torsion |
j |
-32768 |
j-invariant |
L |
3.888226177458 |
L(r)(E,1)/r! |
Ω |
0.12108654771226 |
Real period |
R |
8.0277831247981 |
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 |
20449a1 121b2 |
Quadratic twists by: -11 13 |