Atkin-Lehner |
3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
1287c |
Isogeny class |
Conductor |
1287 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
128 |
Modular degree for the optimal curve |
Δ |
-938223 = -1 · 38 · 11 · 13 |
Discriminant |
Eigenvalues |
1 3- 0 0 11+ 13- 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,18,-41] |
[a1,a2,a3,a4,a6] |
Generators |
[6:13:1] |
Generators of the group modulo torsion |
j |
857375/1287 |
j-invariant |
L |
3.175929504917 |
L(r)(E,1)/r! |
Ω |
1.4778191191852 |
Real period |
R |
2.1490651079599 |
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 |
20592bq1 82368bm1 429a1 32175j1 |
Quadratic twists by: -4 8 -3 5 |