Atkin-Lehner |
2- 3+ 5+ 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
40890w |
Isogeny class |
Conductor |
40890 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
54438912 |
Modular degree for the optimal curve |
Δ |
1.3710014197517E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-24810904771,1504211929258529] |
[a1,a2,a3,a4,a6] |
Generators |
[90931:-49410:1] |
Generators of the group modulo torsion |
j |
1689085048460812878252782170500247729/13710014197516800000000000 |
j-invariant |
L |
8.3386066373232 |
L(r)(E,1)/r! |
Ω |
0.048891155302223 |
Real period |
R |
3.1584167008817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122670x1 |
Quadratic twists by: -3 |