Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22848bf |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-368492544 = -1 · 214 · 33 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 1 7 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,139,723] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:21:1] |
Generators of the group modulo torsion |
j |
17997824/22491 |
j-invariant |
L |
6.596731695074 |
L(r)(E,1)/r! |
Ω |
1.138315847005 |
Real period |
R |
0.96586135157922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22848br1 1428c1 68544cg1 |
Quadratic twists by: -4 8 -3 |