Atkin-Lehner |
2- 73- |
Signs for the Atkin-Lehner involutions |
Class |
4672d |
Isogeny class |
Conductor |
4672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1396965376 = -1 · 218 · 732 |
Discriminant |
Eigenvalues |
2- 0 -2 -2 -2 6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,244,1040] |
[a1,a2,a3,a4,a6] |
Generators |
[32:204:1] |
Generators of the group modulo torsion |
j |
6128487/5329 |
j-invariant |
L |
3.0111403432401 |
L(r)(E,1)/r! |
Ω |
0.98739835950045 |
Real period |
R |
3.0495699271401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4672a2 1168a2 42048cg2 116800bk2 |
Quadratic twists by: -4 8 -3 5 |