Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
101640bu |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
5203968 |
Modular degree for the optimal curve |
Δ |
2.378248637261E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3786251,1593764196] |
[a1,a2,a3,a4,a6] |
Generators |
[-887:65219:1] |
Generators of the group modulo torsion |
j |
159110148429824/63038098935 |
j-invariant |
L |
4.1117658300005 |
L(r)(E,1)/r! |
Ω |
0.13206762770049 |
Real period |
R |
3.8917237789803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101640b1 |
Quadratic twists by: -11 |