Atkin-Lehner |
2- 3- 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650cx |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
deg |
1081344 |
Modular degree for the optimal curve |
Δ |
139740418046250000 = 24 · 316 · 57 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-225463,-37092583] |
[a1,a2,a3,a4,a6] |
j |
81120319166611369/8943386754960 |
j-invariant |
L |
7.0611928682998 |
L(r)(E,1)/r! |
Ω |
0.22066227714536 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11130f1 |
Quadratic twists by: 5 |