Atkin-Lehner |
2- 3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890fq |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
deg |
454164480 |
Modular degree for the optimal curve |
Δ |
3.2859926352238E+31 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-28447521962,1826075469232361] |
[a1,a2,a3,a4,a6] |
Generators |
[-4079:44070679:1] |
Generators of the group modulo torsion |
j |
86546029380148836129592927/1117009064157511680000 |
j-invariant |
L |
11.907029548114 |
L(r)(E,1)/r! |
Ω |
0.020826996123256 |
Real period |
R |
4.4664947566814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999314898 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42630bk1 127890eo1 |
Quadratic twists by: -3 -7 |