Atkin-Lehner |
2- 7+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
16198h |
Isogeny class |
Conductor |
16198 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-5766488 = -1 · 23 · 7 · 13 · 892 |
Discriminant |
Eigenvalues |
2- -1 0 7+ 1 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-643,6009] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:90:1] |
Generators of the group modulo torsion |
j |
-29403487464625/5766488 |
j-invariant |
L |
5.9068692444625 |
L(r)(E,1)/r! |
Ω |
2.3304402662725 |
Real period |
R |
0.42244301287546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129584q1 113386t1 |
Quadratic twists by: -4 -7 |