Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050bk |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1216512 |
Modular degree for the optimal curve |
Δ |
-51627221822668800 = -1 · 216 · 3 · 52 · 72 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 5 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-54210,-11985420] |
[a1,a2,a3,a4,a6] |
Generators |
[1691316:80191270:729] |
Generators of the group modulo torsion |
j |
-3287705905/9633792 |
j-invariant |
L |
4.9021104905802 |
L(r)(E,1)/r! |
Ω |
0.14475455491076 |
Real period |
R |
8.4662455983864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000075767 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050iy1 127050ft1 |
Quadratic twists by: 5 -11 |