Atkin-Lehner |
2+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
43120q |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
-1.3840246465334E+21 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2544913,-872887666] |
[a1,a2,a3,a4,a6] |
Generators |
[74858:20485920:1] |
Generators of the group modulo torsion |
j |
60522147178827696/45953185114375 |
j-invariant |
L |
5.4879186621539 |
L(r)(E,1)/r! |
Ω |
0.08489749584294 |
Real period |
R |
8.0802128020085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21560r1 6160a1 |
Quadratic twists by: -4 -7 |