Atkin-Lehner |
7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9163c |
Isogeny class |
Conductor |
9163 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7020 |
Modular degree for the optimal curve |
Δ |
-2662043923 = -1 · 76 · 113 · 17 |
Discriminant |
Eigenvalues |
2 0 -4 7- 11+ -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,343,-429] |
[a1,a2,a3,a4,a6] |
j |
37933056/22627 |
j-invariant |
L |
0.84012772103592 |
L(r)(E,1)/r! |
Ω |
0.84012772103592 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82467bj1 187b1 100793o1 |
Quadratic twists by: -3 -7 -11 |