Atkin-Lehner |
2+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4598d |
Isogeny class |
Conductor |
4598 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-154767112082 = -1 · 2 · 118 · 192 |
Discriminant |
Eigenvalues |
2+ 0 2 -2 11- 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,764,-17286] |
[a1,a2,a3,a4,a6] |
j |
27818127/87362 |
j-invariant |
L |
1.0492733266124 |
L(r)(E,1)/r! |
Ω |
0.52463666330621 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36784ba2 41382cb2 114950cb2 418a2 |
Quadratic twists by: -4 -3 5 -11 |