Atkin-Lehner |
3- 5- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16965r |
Isogeny class |
Conductor |
16965 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
996269625 = 36 · 53 · 13 · 292 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 -6 13- -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-392,2666] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:46:1] [-14:79:1] |
Generators of the group modulo torsion |
j |
9116230969/1366625 |
j-invariant |
L |
4.876157560964 |
L(r)(E,1)/r! |
Ω |
1.4976761725619 |
Real period |
R |
1.0852718921701 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1885d1 84825n1 |
Quadratic twists by: -3 5 |