Atkin-Lehner |
2- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41140k |
Isogeny class |
Conductor |
41140 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10944 |
Modular degree for the optimal curve |
Δ |
-144812800 = -1 · 28 · 52 · 113 · 17 |
Discriminant |
Eigenvalues |
2- 0 5- 3 11+ -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,88,484] |
[a1,a2,a3,a4,a6] |
Generators |
[0:22:1] |
Generators of the group modulo torsion |
j |
221184/425 |
j-invariant |
L |
6.6438321336499 |
L(r)(E,1)/r! |
Ω |
1.2644334440387 |
Real period |
R |
0.43786620831168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41140l1 |
Quadratic twists by: -11 |