Atkin-Lehner |
2- 5- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
33550w |
Isogeny class |
Conductor |
33550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
128000 |
Modular degree for the optimal curve |
Δ |
3690500000000 = 28 · 59 · 112 · 61 |
Discriminant |
Eigenvalues |
2- 2 5- 4 11+ 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-19888,1067281] |
[a1,a2,a3,a4,a6] |
Generators |
[49:437:1] |
Generators of the group modulo torsion |
j |
445418623853/1889536 |
j-invariant |
L |
13.498016448413 |
L(r)(E,1)/r! |
Ω |
0.7915103719835 |
Real period |
R |
2.1316866029479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33550l1 |
Quadratic twists by: 5 |