Atkin-Lehner |
2- 5+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
48880l |
Isogeny class |
Conductor |
48880 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-3383590912000000 = -1 · 221 · 56 · 133 · 47 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 0 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,32344,-1690000] |
[a1,a2,a3,a4,a6] |
Generators |
[1326:3250:27] |
Generators of the group modulo torsion |
j |
913548316680791/826072000000 |
j-invariant |
L |
7.8472335162032 |
L(r)(E,1)/r! |
Ω |
0.24477083707323 |
Real period |
R |
2.6716259754039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000062 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6110a2 |
Quadratic twists by: -4 |