Atkin-Lehner |
2- 3- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
8946s |
Isogeny class |
Conductor |
8946 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
58482545651964 = 22 · 36 · 710 · 71 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 0 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10481,190181] |
[a1,a2,a3,a4,a6] |
Generators |
[151:1350:1] |
Generators of the group modulo torsion |
j |
174648757219273/80222970716 |
j-invariant |
L |
5.4508175850355 |
L(r)(E,1)/r! |
Ω |
0.56029747534286 |
Real period |
R |
4.8642175138305 |
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 |
71568cb2 994b2 62622cb2 |
Quadratic twists by: -4 -3 -7 |