Atkin-Lehner |
2+ 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
127050ds |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1693440 |
Modular degree for the optimal curve |
Δ |
-70465868550000000 = -1 · 27 · 32 · 58 · 76 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ 3 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,102924,-1250702] |
[a1,a2,a3,a4,a6] |
Generators |
[1478:57399:1] |
Generators of the group modulo torsion |
j |
231921844285/135531648 |
j-invariant |
L |
6.4289948493365 |
L(r)(E,1)/r! |
Ω |
0.20419042728943 |
Real period |
R |
3.9356612682655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001661 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050fy1 127050jb1 |
Quadratic twists by: 5 -11 |