Atkin-Lehner |
2- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
28864s |
Isogeny class |
Conductor |
28864 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
116224 |
Modular degree for the optimal curve |
Δ |
-5621387361301184 = -1 · 26 · 11 · 418 |
Discriminant |
Eigenvalues |
2- -1 -1 -4 11+ -6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,33989,2671109] |
[a1,a2,a3,a4,a6] |
Generators |
[2460:68921:27] |
Generators of the group modulo torsion |
j |
67849417324588544/87834177520331 |
j-invariant |
L |
1.9676081938581 |
L(r)(E,1)/r! |
Ω |
0.28757285351155 |
Real period |
R |
0.85526509623197 |
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 |
28864w1 14432e1 |
Quadratic twists by: -4 8 |