Atkin-Lehner |
2- 3+ 7- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
41118k |
Isogeny class |
Conductor |
41118 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19418112 |
Modular degree for the optimal curve |
Δ |
-2.5194903972613E+26 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ 1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-366742508,-2809227936355] |
[a1,a2,a3,a4,a6] |
Generators |
[102901949454018383392476442269818277:-22823732908461953660719555545163642547:1825675617607491707665911183609] |
Generators of the group modulo torsion |
j |
-5455159636747919515186674066625/251949039726133410413517072 |
j-invariant |
L |
7.6942171617263 |
L(r)(E,1)/r! |
Ω |
0.017203209388907 |
Real period |
R |
55.906844093636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123354z1 |
Quadratic twists by: -3 |