Atkin-Lehner |
11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
40931a |
Isogeny class |
Conductor |
40931 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
44400 |
Modular degree for the optimal curve |
Δ |
-566724117971 = -1 · 11 · 616 |
Discriminant |
Eigenvalues |
2 -1 1 2 11+ 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1240,40345] |
[a1,a2,a3,a4,a6] |
Generators |
[681760:4966035:32768] |
Generators of the group modulo torsion |
j |
-4096/11 |
j-invariant |
L |
10.951214812904 |
L(r)(E,1)/r! |
Ω |
0.81252799650878 |
Real period |
R |
6.7389769090768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11a3 |
Quadratic twists by: 61 |