Atkin-Lehner |
2- 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150gj |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
2096640 |
Modular degree for the optimal curve |
Δ |
-2.8519734593851E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ -1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-922055,427025247] |
[a1,a2,a3,a4,a6] |
j |
-190276961027565625/62594753566752 |
j-invariant |
L |
1.9836333471276 |
L(r)(E,1)/r! |
Ω |
0.19836333488701 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28050t1 84150bq1 |
Quadratic twists by: -3 5 |