Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966db |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-2027589250670634 = -1 · 2 · 3 · 77 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 1 -3 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,13866,2079069] |
[a1,a2,a3,a4,a6] |
Generators |
[6:11557:8] |
Generators of the group modulo torsion |
j |
103823/714 |
j-invariant |
L |
11.570598212307 |
L(r)(E,1)/r! |
Ω |
0.33838543151583 |
Real period |
R |
4.2741933934184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12138x1 4998bo1 |
Quadratic twists by: -7 17 |