Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33800b |
Isogeny class |
Conductor |
33800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
6033511250000 = 24 · 57 · 136 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8450,274625] |
[a1,a2,a3,a4,a6] |
Generators |
[-104:169:1] |
Generators of the group modulo torsion |
j |
55296/5 |
j-invariant |
L |
3.15533497338 |
L(r)(E,1)/r! |
Ω |
0.73647482864742 |
Real period |
R |
2.1421879273011 |
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 |
67600b1 6760g1 200c1 |
Quadratic twists by: -4 5 13 |