Atkin-Lehner |
3- 7+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
43407d |
Isogeny class |
Conductor |
43407 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1044480 |
Modular degree for the optimal curve |
Δ |
-1.3027491653224E+19 |
Discriminant |
Eigenvalues |
0 3- 1 7+ 3 13+ -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5675682,5207350603] |
[a1,a2,a3,a4,a6] |
Generators |
[1321661:31230788:1331] |
Generators of the group modulo torsion |
j |
-27736416332277125054464/17870358920746059 |
j-invariant |
L |
4.8594023347372 |
L(r)(E,1)/r! |
Ω |
0.22191346968527 |
Real period |
R |
2.7372168652222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14469a1 |
Quadratic twists by: -3 |