Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33800b |
Isogeny class |
Conductor |
33800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
482680900000000 = 28 · 58 · 136 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29575,-1647750] |
[a1,a2,a3,a4,a6] |
Generators |
[-129:144:1] |
Generators of the group modulo torsion |
j |
148176/25 |
j-invariant |
L |
3.15533497338 |
L(r)(E,1)/r! |
Ω |
0.36823741432371 |
Real period |
R |
4.2843758546022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
67600b2 6760g2 200c2 |
Quadratic twists by: -4 5 13 |