Atkin-Lehner |
2+ 3- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37128n |
Isogeny class |
Conductor |
37128 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
162816 |
Modular degree for the optimal curve |
Δ |
105089467392 = 210 · 36 · 72 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 6 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-202384,-35111440] |
[a1,a2,a3,a4,a6] |
j |
895270814889482308/102626433 |
j-invariant |
L |
2.7010746130672 |
L(r)(E,1)/r! |
Ω |
0.22508955109144 |
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 |
74256g1 111384cp1 |
Quadratic twists by: -4 -3 |