Atkin-Lehner |
3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16245a |
Isogeny class |
Conductor |
16245 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
196992 |
Modular degree for the optimal curve |
Δ |
1128220215759010125 = 312 · 53 · 198 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 3 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-699618,219362823] |
[a1,a2,a3,a4,a6] |
j |
3058794496/91125 |
j-invariant |
L |
1.6422004924621 |
L(r)(E,1)/r! |
Ω |
0.27370008207702 |
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 |
5415j1 81225o1 16245b1 |
Quadratic twists by: -3 5 -19 |