Atkin-Lehner |
2- 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150gg |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
7741440 |
Modular degree for the optimal curve |
Δ |
-1.3504355892971E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5845945,-1290729553] |
[a1,a2,a3,a4,a6] |
j |
15517808558617483/9484540764336 |
j-invariant |
L |
0.58251857770128 |
L(r)(E,1)/r! |
Ω |
0.072814828200851 |
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 |
28050bt1 84150dd1 |
Quadratic twists by: -3 5 |