Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39984bx |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-344069677056 = -1 · 213 · 3 · 77 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 1 -3 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,768,-27264] |
[a1,a2,a3,a4,a6] |
Generators |
[26:98:1] |
Generators of the group modulo torsion |
j |
103823/714 |
j-invariant |
L |
3.0190132818697 |
L(r)(E,1)/r! |
Ω |
0.47833797296775 |
Real period |
R |
0.78893310077811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4998bo1 119952gv1 5712u1 |
Quadratic twists by: -4 -3 -7 |