Atkin-Lehner |
2- 3+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
8946p |
Isogeny class |
Conductor |
8946 |
Conductor |
∏ cp |
196 |
Product of Tamagawa factors cp |
deg |
65856 |
Modular degree for the optimal curve |
Δ |
-18856273145020416 = -1 · 214 · 39 · 77 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -1 -3 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10127,6620887] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:2678:1] |
Generators of the group modulo torsion |
j |
-5834916486027/957997924352 |
j-invariant |
L |
6.929034851773 |
L(r)(E,1)/r! |
Ω |
0.31612486892248 |
Real period |
R |
0.11182991946187 |
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 |
71568x1 8946c1 62622bl1 |
Quadratic twists by: -4 -3 -7 |