Atkin-Lehner |
2+ 5+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
53680d |
Isogeny class |
Conductor |
53680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19456 |
Modular degree for the optimal curve |
Δ |
34355200 = 211 · 52 · 11 · 61 |
Discriminant |
Eigenvalues |
2+ -1 5+ -2 11+ -1 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1936,33440] |
[a1,a2,a3,a4,a6] |
Generators |
[28:-20:1] |
Generators of the group modulo torsion |
j |
392043380258/16775 |
j-invariant |
L |
3.4786826071836 |
L(r)(E,1)/r! |
Ω |
1.9434789728289 |
Real period |
R |
0.22374068974636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000222 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26840f1 |
Quadratic twists by: -4 |