Atkin-Lehner |
2- 3+ 29- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
44892c |
Isogeny class |
Conductor |
44892 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24768 |
Modular degree for the optimal curve |
Δ |
6283443456 = 28 · 39 · 29 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -1 -4 1 -2 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-648,5076] |
[a1,a2,a3,a4,a6] |
Generators |
[21:27:1] |
Generators of the group modulo torsion |
j |
5971968/1247 |
j-invariant |
L |
3.911979843657 |
L(r)(E,1)/r! |
Ω |
1.2672676879739 |
Real period |
R |
1.5434702079052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44892a1 |
Quadratic twists by: -3 |