Atkin-Lehner |
2- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59584bw |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-112159968256 = -1 · 210 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 0 -3 7+ 5 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2744,57624] |
[a1,a2,a3,a4,a6] |
Generators |
[30:48:1] |
Generators of the group modulo torsion |
j |
-387072/19 |
j-invariant |
L |
5.66205244668 |
L(r)(E,1)/r! |
Ω |
1.0423813463601 |
Real period |
R |
2.7159218007512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000227 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59584d1 14896b1 59584ch1 |
Quadratic twists by: -4 8 -7 |