Atkin-Lehner |
2- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
15886d |
Isogeny class |
Conductor |
15886 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
8496 |
Modular degree for the optimal curve |
Δ |
-687291904 = -1 · 29 · 134 · 47 |
Discriminant |
Eigenvalues |
2- -2 3 -1 -3 13+ -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,81,-1223] |
[a1,a2,a3,a4,a6] |
j |
2056223/24064 |
j-invariant |
L |
2.3763757809164 |
L(r)(E,1)/r! |
Ω |
0.79212526030545 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
127088n1 15886c1 |
Quadratic twists by: -4 13 |