Atkin-Lehner |
7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9163f |
Isogeny class |
Conductor |
9163 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-913081065589 = -1 · 79 · 113 · 17 |
Discriminant |
Eigenvalues |
-1 0 -1 7- 11- -1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6943,-225620] |
[a1,a2,a3,a4,a6] |
Generators |
[100:219:1] |
Generators of the group modulo torsion |
j |
-314570740401/7761061 |
j-invariant |
L |
2.2769027017802 |
L(r)(E,1)/r! |
Ω |
0.2611286798178 |
Real period |
R |
1.4532443693845 |
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 |
82467v1 1309c1 100793l1 |
Quadratic twists by: -3 -7 -11 |