Atkin-Lehner |
2+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
10406b |
Isogeny class |
Conductor |
10406 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1080 |
Modular degree for the optimal curve |
Δ |
-41624 = -1 · 23 · 112 · 43 |
Discriminant |
Eigenvalues |
2+ 1 3 -2 11- 4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,8,-2] |
[a1,a2,a3,a4,a6] |
j |
557183/344 |
j-invariant |
L |
2.0908714328116 |
L(r)(E,1)/r! |
Ω |
2.0908714328116 |
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 |
83248bl1 93654bm1 10406j1 |
Quadratic twists by: -4 -3 -11 |