Atkin-Lehner |
2- 3- 29+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
27666h |
Isogeny class |
Conductor |
27666 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-4159195776 = -1 · 27 · 36 · 292 · 53 |
Discriminant |
Eigenvalues |
2- 3- 1 0 -3 0 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-317,-3707] |
[a1,a2,a3,a4,a6] |
Generators |
[67:488:1] |
Generators of the group modulo torsion |
j |
-4818245769/5705344 |
j-invariant |
L |
8.9166424765628 |
L(r)(E,1)/r! |
Ω |
0.54125152540997 |
Real period |
R |
0.58836142176022 |
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 |
3074a1 |
Quadratic twists by: -3 |