Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
127050jb |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
18627840 |
Modular degree for the optimal curve |
Δ |
-1.2483458455431E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -3 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,12453862,1677137892] |
[a1,a2,a3,a4,a6] |
Generators |
[7996:778630:1] |
Generators of the group modulo torsion |
j |
231921844285/135531648 |
j-invariant |
L |
13.639037579774 |
L(r)(E,1)/r! |
Ω |
0.063191721649325 |
Real period |
R |
1.2847370802829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999419658 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050b1 127050ds1 |
Quadratic twists by: 5 -11 |