Atkin-Lehner |
2+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
107584d |
Isogeny class |
Conductor |
107584 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4186400478525390848 = 219 · 418 |
Discriminant |
Eigenvalues |
2+ -2 2 4 -2 4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1239457,-522334017] |
[a1,a2,a3,a4,a6] |
Generators |
[-153774662295202:-200039338479715:267463420307] |
Generators of the group modulo torsion |
j |
169112377/3362 |
j-invariant |
L |
6.810346885058 |
L(r)(E,1)/r! |
Ω |
0.14325716027576 |
Real period |
R |
23.769656122265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016804 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107584k2 3362b2 2624b2 |
Quadratic twists by: -4 8 41 |