Atkin-Lehner |
2- 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150gx |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
85761544816406250 = 2 · 36 · 59 · 116 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-172805,23832947] |
[a1,a2,a3,a4,a6] |
Generators |
[34132:566485:64] |
Generators of the group modulo torsion |
j |
400804604117/60233074 |
j-invariant |
L |
11.660528160206 |
L(r)(E,1)/r! |
Ω |
0.32668993168058 |
Real period |
R |
5.9488253898955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991235 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9350j2 84150dn2 |
Quadratic twists by: -3 5 |