Atkin-Lehner |
2- 3- 67- |
Signs for the Atkin-Lehner involutions |
Class |
53868h |
Isogeny class |
Conductor |
53868 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
66528 |
Modular degree for the optimal curve |
Δ |
38170218384 = 24 · 312 · 672 |
Discriminant |
Eigenvalues |
2- 3- -2 -5 -5 -3 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1094,9921] |
[a1,a2,a3,a4,a6] |
Generators |
[46:-243:1] [-30:129:1] |
Generators of the group modulo torsion |
j |
2017915648/531441 |
j-invariant |
L |
8.7881232309997 |
L(r)(E,1)/r! |
Ω |
1.0777330197067 |
Real period |
R |
0.22650742784217 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53868a1 |
Quadratic twists by: -67 |