Atkin-Lehner |
2- 3- 29- 41- |
Signs for the Atkin-Lehner involutions |
Class |
57072r |
Isogeny class |
Conductor |
57072 |
Conductor |
∏ cp |
130 |
Product of Tamagawa factors cp |
deg |
748800 |
Modular degree for the optimal curve |
Δ |
-879536763145287792 = -1 · 24 · 313 · 295 · 412 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 1 3 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1801758,931370679] |
[a1,a2,a3,a4,a6] |
Generators |
[915:7047:1] |
Generators of the group modulo torsion |
j |
-40429032428007724000000/54971047696580487 |
j-invariant |
L |
6.994802734065 |
L(r)(E,1)/r! |
Ω |
0.28015075801931 |
Real period |
R |
0.19206150023227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000191 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14268b1 |
Quadratic twists by: -4 |