Atkin-Lehner |
2- 41+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
47888h |
Isogeny class |
Conductor |
47888 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
12553551872 = 222 · 41 · 73 |
Discriminant |
Eigenvalues |
2- 2 0 0 -4 -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1168,14784] |
[a1,a2,a3,a4,a6] |
Generators |
[2235:18676:27] |
Generators of the group modulo torsion |
j |
43059012625/3064832 |
j-invariant |
L |
8.2401656411285 |
L(r)(E,1)/r! |
Ω |
1.2395336185014 |
Real period |
R |
6.6477952014701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999926 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5986b1 |
Quadratic twists by: -4 |