Atkin-Lehner |
2- 3+ 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
16116a |
Isogeny class |
Conductor |
16116 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
565201044774144 = 28 · 39 · 175 · 79 |
Discriminant |
Eigenvalues |
2- 3+ -3 -1 4 6 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-125117,17037561] |
[a1,a2,a3,a4,a6] |
Generators |
[-408:39:1] |
Generators of the group modulo torsion |
j |
846128230969827328/2207816581149 |
j-invariant |
L |
3.3333179747313 |
L(r)(E,1)/r! |
Ω |
0.51941304524725 |
Real period |
R |
6.417470653138 |
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 |
64464l1 48348h1 |
Quadratic twists by: -4 -3 |