Atkin-Lehner |
2+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
32320a |
Isogeny class |
Conductor |
32320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
165478400 = 216 · 52 · 101 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-215468,-38496592] |
[a1,a2,a3,a4,a6] |
Generators |
[20323457103726056:-531950231878666740:21316144089583] |
Generators of the group modulo torsion |
j |
16880764960659204/2525 |
j-invariant |
L |
5.9552714852 |
L(r)(E,1)/r! |
Ω |
0.22159188891371 |
Real period |
R |
26.874952483117 |
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 |
32320l4 4040b3 |
Quadratic twists by: -4 8 |