Atkin-Lehner |
2+ 3- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
13806d |
Isogeny class |
Conductor |
13806 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-3385932680871936 = -1 · 214 · 313 · 133 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -3 0 5 13+ -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-108756,14112976] |
[a1,a2,a3,a4,a6] |
Generators |
[200:476:1] |
Generators of the group modulo torsion |
j |
-195145305494895937/4644626448384 |
j-invariant |
L |
2.792408659727 |
L(r)(E,1)/r! |
Ω |
0.44553731602204 |
Real period |
R |
1.5668769816291 |
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 |
110448bi1 4602b1 |
Quadratic twists by: -4 -3 |