Atkin-Lehner |
2+ 3+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
13806a |
Isogeny class |
Conductor |
13806 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-331344 = -1 · 24 · 33 · 13 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 3 0 1 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3,-27] |
[a1,a2,a3,a4,a6] |
Generators |
[6:9:1] |
Generators of the group modulo torsion |
j |
-132651/12272 |
j-invariant |
L |
4.4175343119396 |
L(r)(E,1)/r! |
Ω |
1.3463695659053 |
Real period |
R |
0.82026778230266 |
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 |
110448y1 13806g1 |
Quadratic twists by: -4 -3 |