Atkin-Lehner |
2- 3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890fs |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
786432 |
Modular degree for the optimal curve |
Δ |
7335102900142080 = 216 · 38 · 5 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-49622,-1046811] |
[a1,a2,a3,a4,a6] |
Generators |
[-151:1803:1] |
Generators of the group modulo torsion |
j |
157551496201/85524480 |
j-invariant |
L |
13.284754747753 |
L(r)(E,1)/r! |
Ω |
0.34112029236687 |
Real period |
R |
1.2170152124913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018482 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42630h1 2610j1 |
Quadratic twists by: -3 -7 |