Atkin-Lehner |
2- 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
57408dh |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-115292719706112 = -1 · 212 · 34 · 134 · 233 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 2 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,12167,12167] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-552:1] [11:384:1] |
Generators of the group modulo torsion |
j |
48627125000000/28147636647 |
j-invariant |
L |
10.814760447647 |
L(r)(E,1)/r! |
Ω |
0.35379809178005 |
Real period |
R |
1.2736502234511 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408bx1 28704g1 |
Quadratic twists by: -4 8 |