Atkin-Lehner |
2- 3+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
54288w |
Isogeny class |
Conductor |
54288 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-25288083505152 = -1 · 218 · 39 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 4 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14715,-728406] |
[a1,a2,a3,a4,a6] |
Generators |
[7018:587834:1] |
Generators of the group modulo torsion |
j |
-4370722875/313664 |
j-invariant |
L |
6.5476464517406 |
L(r)(E,1)/r! |
Ω |
0.21584353734927 |
Real period |
R |
7.5837879282804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999293 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6786h1 54288v1 |
Quadratic twists by: -4 -3 |