Atkin-Lehner |
2- 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
54684g |
Isogeny class |
Conductor |
54684 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
77202214992 = 24 · 33 · 78 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1176,7889] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:153:1] [-14:147:1] |
Generators of the group modulo torsion |
j |
3538944/1519 |
j-invariant |
L |
8.8607592443198 |
L(r)(E,1)/r! |
Ω |
0.98078619843618 |
Real period |
R |
1.5057238873685 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54684d1 7812c1 |
Quadratic twists by: -3 -7 |