Atkin-Lehner |
2- 3+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
53868d |
Isogeny class |
Conductor |
53868 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
471237264 = 24 · 38 · 672 |
Discriminant |
Eigenvalues |
2- 3+ -2 3 -1 5 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2434,47029] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:243:1] |
Generators of the group modulo torsion |
j |
22212337408/6561 |
j-invariant |
L |
5.2394432799802 |
L(r)(E,1)/r! |
Ω |
1.626409495851 |
Real period |
R |
1.6107392675088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53868e1 |
Quadratic twists by: -67 |