Atkin-Lehner |
2+ 3+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
47808b |
Isogeny class |
Conductor |
47808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
48759570432 = 218 · 33 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 0 -6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1356,-16016] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:52:1] |
Generators of the group modulo torsion |
j |
38958219/6889 |
j-invariant |
L |
4.3453988784964 |
L(r)(E,1)/r! |
Ω |
0.79628267466177 |
Real period |
R |
2.7285529478217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47808bi2 747b2 47808e2 |
Quadratic twists by: -4 8 -3 |