Atkin-Lehner |
2- 3- 5+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50310bs |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
115859452410000 = 24 · 313 · 54 · 132 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21533,-1095019] |
[a1,a2,a3,a4,a6] |
Generators |
[-99:292:1] |
Generators of the group modulo torsion |
j |
1514575392925321/158929290000 |
j-invariant |
L |
7.1822585682652 |
L(r)(E,1)/r! |
Ω |
0.39679074923723 |
Real period |
R |
1.131304500869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770h1 |
Quadratic twists by: -3 |