Atkin-Lehner |
2- 3- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
32016ba |
Isogeny class |
Conductor |
32016 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1508081664 = 215 · 3 · 232 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 2 4 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-59384,-5589804] |
[a1,a2,a3,a4,a6] |
Generators |
[312690:-2551953:1000] |
Generators of the group modulo torsion |
j |
5654307459987577/368184 |
j-invariant |
L |
6.5586353224821 |
L(r)(E,1)/r! |
Ω |
0.30583105652865 |
Real period |
R |
10.722644385639 |
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 |
4002c2 128064cf2 96048bp2 |
Quadratic twists by: -4 8 -3 |