Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83232bc |
Isogeny class |
Conductor |
83232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2603687513338368 = -1 · 29 · 36 · 178 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,13005,-2387718] |
[a1,a2,a3,a4,a6] |
Generators |
[552874:22246064:343] |
Generators of the group modulo torsion |
j |
27000/289 |
j-invariant |
L |
6.3593026212579 |
L(r)(E,1)/r! |
Ω |
0.22464842688508 |
Real period |
R |
7.0769498658443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005082 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83232e2 9248a2 4896q2 |
Quadratic twists by: -4 -3 17 |