Atkin-Lehner |
2- 3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890fu |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
deg |
12845056 |
Modular degree for the optimal curve |
Δ |
1.8657638294188E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14368892,2763568959] |
[a1,a2,a3,a4,a6] |
Generators |
[-883:121941:1] |
Generators of the group modulo torsion |
j |
11152792880187967/6342300000000 |
j-invariant |
L |
11.367787005994 |
L(r)(E,1)/r! |
Ω |
0.086767663054289 |
Real period |
R |
1.0235476302018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009792 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42630j1 127890ep1 |
Quadratic twists by: -3 -7 |