Atkin-Lehner |
2- 3+ 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
1590q |
Isogeny class |
Conductor |
1590 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
11127456000 = 28 · 38 · 53 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-905560,331306265] |
[a1,a2,a3,a4,a6] |
j |
82125009821717833875841/11127456000 |
j-invariant |
L |
2.1894803735204 |
L(r)(E,1)/r! |
Ω |
0.72982679117346 |
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 |
12720bj1 50880z1 4770h1 7950m1 |
Quadratic twists by: -4 8 -3 5 |