Atkin-Lehner |
2- 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
110940b |
Isogeny class |
Conductor |
110940 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5677056 |
Modular degree for the optimal curve |
Δ |
-2.8534430519568E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 1 -5 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8589221,-9720159855] |
[a1,a2,a3,a4,a6] |
Generators |
[20925650144:3141201673575:912673] |
Generators of the group modulo torsion |
j |
-43304636317696/176326875 |
j-invariant |
L |
5.4501568967029 |
L(r)(E,1)/r! |
Ω |
0.044083420208639 |
Real period |
R |
15.454100631565 |
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 |
2580b1 |
Quadratic twists by: -43 |