Atkin-Lehner |
7+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
44891a |
Isogeny class |
Conductor |
44891 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1148928 |
Modular degree for the optimal curve |
Δ |
-4.4671424833045E+19 |
Discriminant |
Eigenvalues |
0 -1 -3 7+ 11+ 4 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1771117,963128077] |
[a1,a2,a3,a4,a6] |
Generators |
[-161:35271:1] [6698:65215:8] |
Generators of the group modulo torsion |
j |
-260574279630848/18945044881 |
j-invariant |
L |
4.9146114791244 |
L(r)(E,1)/r! |
Ω |
0.19872339108338 |
Real period |
R |
1.5456822459136 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44891f1 |
Quadratic twists by: -11 |