Atkin-Lehner |
2- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59584cu |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-73247326208 = -1 · 215 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 3 0 7- -2 -1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,980,-5488] |
[a1,a2,a3,a4,a6] |
Generators |
[678:5048:27] |
Generators of the group modulo torsion |
j |
27000/19 |
j-invariant |
L |
11.054151412341 |
L(r)(E,1)/r! |
Ω |
0.6159138592381 |
Real period |
R |
4.4868901902071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000207 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59584dd1 29792p1 1216r1 |
Quadratic twists by: -4 8 -7 |