Atkin-Lehner |
2+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
33880f |
Isogeny class |
Conductor |
33880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-59889532890880 = -1 · 28 · 5 · 74 · 117 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5687,-407286] |
[a1,a2,a3,a4,a6] |
Generators |
[34265:50336:343] |
Generators of the group modulo torsion |
j |
-44851536/132055 |
j-invariant |
L |
5.3341303044951 |
L(r)(E,1)/r! |
Ω |
0.25429840927414 |
Real period |
R |
5.2439674315309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67760p1 3080e1 |
Quadratic twists by: -4 -11 |