Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13872m |
Isogeny class |
Conductor |
13872 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
945420302592 = 28 · 32 · 177 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15124,-719428] |
[a1,a2,a3,a4,a6] |
j |
61918288/153 |
j-invariant |
L |
1.7222848260251 |
L(r)(E,1)/r! |
Ω |
0.43057120650627 |
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 |
6936h1 55488co1 41616w1 816b1 |
Quadratic twists by: -4 8 -3 17 |