Atkin-Lehner |
3- 7+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
50127i |
Isogeny class |
Conductor |
50127 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
-48345837309 = -1 · 310 · 74 · 11 · 31 |
Discriminant |
Eigenvalues |
1 3- -1 7+ 11+ 1 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3799,-91045] |
[a1,a2,a3,a4,a6] |
Generators |
[103:731:1] |
Generators of the group modulo torsion |
j |
-2524498343689/20135709 |
j-invariant |
L |
7.9789785726968 |
L(r)(E,1)/r! |
Ω |
0.30391989684422 |
Real period |
R |
2.6253557781224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50127c1 |
Quadratic twists by: -7 |