Atkin-Lehner |
2- 3- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
81498s |
Isogeny class |
Conductor |
81498 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-10431744 = -1 · 28 · 3 · 172 · 47 |
Discriminant |
Eigenvalues |
2- 3- -1 0 -2 4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6,-156] |
[a1,a2,a3,a4,a6] |
Generators |
[8:14:1] |
Generators of the group modulo torsion |
j |
-83521/36096 |
j-invariant |
L |
11.771632803212 |
L(r)(E,1)/r! |
Ω |
1.0250560955662 |
Real period |
R |
1.4354864155207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000472 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81498q1 |
Quadratic twists by: 17 |