Atkin-Lehner |
2- 3- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
8946r |
Isogeny class |
Conductor |
8946 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
-66559796604 = -1 · 22 · 314 · 72 · 71 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -2 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,166,-12427] |
[a1,a2,a3,a4,a6] |
Generators |
[318:1727:8] |
Generators of the group modulo torsion |
j |
697864103/91302876 |
j-invariant |
L |
6.9481627297838 |
L(r)(E,1)/r! |
Ω |
0.5208070003752 |
Real period |
R |
3.3352867399911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71568ca1 2982d1 62622ce1 |
Quadratic twists by: -4 -3 -7 |