Atkin-Lehner |
2+ 41+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
47888d |
Isogeny class |
Conductor |
47888 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
3064832 = 210 · 41 · 73 |
Discriminant |
Eigenvalues |
2+ -2 -4 0 0 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1000,11844] |
[a1,a2,a3,a4,a6] |
Generators |
[19:-8:1] [-18:156:1] |
Generators of the group modulo torsion |
j |
108108036004/2993 |
j-invariant |
L |
4.9123074349423 |
L(r)(E,1)/r! |
Ω |
2.3512130937037 |
Real period |
R |
2.0892650896235 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23944e1 |
Quadratic twists by: -4 |