Atkin-Lehner |
2+ 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
84270l |
Isogeny class |
Conductor |
84270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
51757056 |
Modular degree for the optimal curve |
Δ |
2.4663295323106E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2543718099,49379844639022] |
[a1,a2,a3,a4,a6] |
j |
82125009821717833875841/11127456000 |
j-invariant |
L |
0.80199524391062 |
L(r)(E,1)/r! |
Ω |
0.10024941962045 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1590q1 |
Quadratic twists by: 53 |