Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050bu |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1006387200 |
Modular degree for the optimal curve |
Δ |
-4.7912141519837E+33 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,41098041675,-898220963617875] |
[a1,a2,a3,a4,a6] |
Generators |
[6393267658242283107022479811307460:4284077174802885468122653025933622645:19083099065746567519672457536] |
Generators of the group modulo torsion |
j |
2218712073897830722499107/1384711926834951880704 |
j-invariant |
L |
3.3784010607911 |
L(r)(E,1)/r! |
Ω |
0.007896403656597 |
Real period |
R |
53.480058893149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127050jf1 11550ca1 |
Quadratic twists by: 5 -11 |