Atkin-Lehner |
2- 3- 5+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
49590bk |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-5.563655829E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4198702,1382064081] |
[a1,a2,a3,a4,a6] |
Generators |
[833:-74289:1] |
Generators of the group modulo torsion |
j |
11229009175684677632039/7631901000000000000 |
j-invariant |
L |
6.736337726246 |
L(r)(E,1)/r! |
Ω |
0.085263841962308 |
Real period |
R |
1.6459540887117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999758 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16530g2 |
Quadratic twists by: -3 |