Atkin-Lehner |
3+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27885j |
Isogeny class |
Conductor |
27885 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-566077902550875 = -1 · 38 · 53 · 11 · 137 |
Discriminant |
Eigenvalues |
-2 3+ 5- 0 11+ 13+ -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-337380,75548306] |
[a1,a2,a3,a4,a6] |
Generators |
[-550:9717:1] [-3030:97601:8] |
Generators of the group modulo torsion |
j |
-879878867636224/117277875 |
j-invariant |
L |
4.0158783043907 |
L(r)(E,1)/r! |
Ω |
0.49910330699839 |
Real period |
R |
0.3352577719615 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83655p1 2145a1 |
Quadratic twists by: -3 13 |