Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
127050hc |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
1936 |
Product of Tamagawa factors cp |
deg |
14868480 |
Modular degree for the optimal curve |
Δ |
7.5716035824845E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-49918063,135737778617] |
[a1,a2,a3,a4,a6] |
Generators |
[3926:14669:1] |
Generators of the group modulo torsion |
j |
661452718394879874611/36407410163712 |
j-invariant |
L |
12.981069721498 |
L(r)(E,1)/r! |
Ω |
0.15110074240902 |
Real period |
R |
0.1775000660418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000085756 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5082g1 127050dh1 |
Quadratic twists by: 5 -11 |