Atkin-Lehner |
2+ 3- 5- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
110550x |
Isogeny class |
Conductor |
110550 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
244800 |
Modular degree for the optimal curve |
Δ |
6156253125000 = 23 · 35 · 58 · 112 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ 5 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4826,48548] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:436:1] |
Generators of the group modulo torsion |
j |
31812387385/15760008 |
j-invariant |
L |
6.870376158876 |
L(r)(E,1)/r! |
Ω |
0.66926092110925 |
Real period |
R |
0.34218722579178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003074 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110550bf1 |
Quadratic twists by: 5 |