Atkin-Lehner |
2- 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13872y |
Isogeny class |
Conductor |
13872 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
60506899365888 = 214 · 32 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 4 -2 0 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11656,-303632] |
[a1,a2,a3,a4,a6] |
j |
1771561/612 |
j-invariant |
L |
1.8896994083594 |
L(r)(E,1)/r! |
Ω |
0.47242485208986 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1734g1 55488dz1 41616cr1 816j1 |
Quadratic twists by: -4 8 -3 17 |