Atkin-Lehner |
5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
16415c |
Isogeny class |
Conductor |
16415 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-905736709115 = -1 · 5 · 79 · 672 |
Discriminant |
Eigenvalues |
0 3 5+ 7- -5 -1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-12838,561748] |
[a1,a2,a3,a4,a6] |
Generators |
[1848:1628:27] |
Generators of the group modulo torsion |
j |
-1988967038976/7698635 |
j-invariant |
L |
6.2790579984707 |
L(r)(E,1)/r! |
Ω |
0.88958093510043 |
Real period |
R |
1.7646112204962 |
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 |
82075c1 2345b1 |
Quadratic twists by: 5 -7 |