Atkin-Lehner |
3- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
8811d |
Isogeny class |
Conductor |
8811 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
38592 |
Modular degree for the optimal curve |
Δ |
-1678984484067 = -1 · 39 · 112 · 893 |
Discriminant |
Eigenvalues |
2 3- 2 -2 11+ 4 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-55749,5066833] |
[a1,a2,a3,a4,a6] |
Generators |
[1138:975:8] |
Generators of the group modulo torsion |
j |
-26284966548631552/2303133723 |
j-invariant |
L |
8.9239112028675 |
L(r)(E,1)/r! |
Ω |
0.80356234080981 |
Real period |
R |
0.92545310940802 |
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 |
2937a1 96921z1 |
Quadratic twists by: -3 -11 |