Atkin-Lehner |
3+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
8811a |
Isogeny class |
Conductor |
8811 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1824 |
Modular degree for the optimal curve |
Δ |
-290763 = -1 · 33 · 112 · 89 |
Discriminant |
Eigenvalues |
-2 3+ 0 -4 11+ -6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-15,34] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:5:1] [-2:7:1] |
Generators of the group modulo torsion |
j |
-13824000/10769 |
j-invariant |
L |
2.9281561068811 |
L(r)(E,1)/r! |
Ω |
2.8263633645056 |
Real period |
R |
0.25900386196419 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999895 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8811b1 96921j1 |
Quadratic twists by: -3 -11 |