Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
10824k |
Isogeny class |
Conductor |
10824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
-47344176 = -1 · 24 · 38 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 11- -2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-115,542] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-27:1] |
Generators of the group modulo torsion |
j |
-10603964416/2959011 |
j-invariant |
L |
5.5904184437394 |
L(r)(E,1)/r! |
Ω |
1.9112267293799 |
Real period |
R |
0.1828151246331 |
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 |
21648b1 86592f1 32472e1 119064g1 |
Quadratic twists by: -4 8 -3 -11 |