Atkin-Lehner |
2- 3- 5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
40590bs |
Isogeny class |
Conductor |
40590 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
58233336480000 = 28 · 39 · 54 · 11 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- 4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32837,2268861] |
[a1,a2,a3,a4,a6] |
Generators |
[71:-576:1] |
Generators of the group modulo torsion |
j |
5371235613671689/79881120000 |
j-invariant |
L |
8.8818937084356 |
L(r)(E,1)/r! |
Ω |
0.62738494047036 |
Real period |
R |
0.22120325216961 |
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 |
13530b1 |
Quadratic twists by: -3 |