Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16320bf |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-82104483840 = -1 · 216 · 3 · 5 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,895,-8865] |
[a1,a2,a3,a4,a6] |
Generators |
[234:3615:1] |
Generators of the group modulo torsion |
j |
1208446844/1252815 |
j-invariant |
L |
6.4768745615293 |
L(r)(E,1)/r! |
Ω |
0.58668466856077 |
Real period |
R |
5.5198941685472 |
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 |
16320by4 2040a4 48960bw3 81600s3 |
Quadratic twists by: -4 8 -3 5 |