Atkin-Lehner |
2+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
65072h |
Isogeny class |
Conductor |
65072 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-139989133312 = -1 · 211 · 77 · 83 |
Discriminant |
Eigenvalues |
2+ 2 2 7- -1 2 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,768,-16288] |
[a1,a2,a3,a4,a6] |
Generators |
[68:588:1] |
Generators of the group modulo torsion |
j |
207646/581 |
j-invariant |
L |
11.024509045514 |
L(r)(E,1)/r! |
Ω |
0.53146990581934 |
Real period |
R |
1.2964644052827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999578 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32536g1 9296a1 |
Quadratic twists by: -4 -7 |