Atkin-Lehner |
2- 3- 29- 41- |
Signs for the Atkin-Lehner involutions |
Class |
42804i |
Isogeny class |
Conductor |
42804 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-1243546430832 = -1 · 24 · 313 · 29 · 412 |
Discriminant |
Eigenvalues |
2- 3- 0 3 3 -5 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-885,54601] |
[a1,a2,a3,a4,a6] |
Generators |
[32:243:1] |
Generators of the group modulo torsion |
j |
-6572128000/106614063 |
j-invariant |
L |
6.6593103871327 |
L(r)(E,1)/r! |
Ω |
0.72818183221885 |
Real period |
R |
1.1431400256934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14268d1 |
Quadratic twists by: -3 |