Atkin-Lehner |
11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
10571a |
Isogeny class |
Conductor |
10571 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5850 |
Modular degree for the optimal curve |
Δ |
-9762540491 = -1 · 11 · 316 |
Discriminant |
Eigenvalues |
-2 1 1 -2 11+ -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-320,-5348] |
[a1,a2,a3,a4,a6] |
j |
-4096/11 |
j-invariant |
L |
0.52402239817383 |
L(r)(E,1)/r! |
Ω |
0.52402239817383 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95139k1 116281d1 11a3 |
Quadratic twists by: -3 -11 -31 |