Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40950dp |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
1164249450000000000 = 210 · 39 · 511 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2737355,1743101147] |
[a1,a2,a3,a4,a6] |
Generators |
[859:4570:1] |
Generators of the group modulo torsion |
j |
199144987475642209/102211200000 |
j-invariant |
L |
9.161161600245 |
L(r)(E,1)/r! |
Ω |
0.27054060174154 |
Real period |
R |
0.84656069562856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650y1 8190y1 |
Quadratic twists by: -3 5 |