Atkin-Lehner |
2- 3+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
43602o |
Isogeny class |
Conductor |
43602 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
15153013873296 = 24 · 33 · 138 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 -6 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7017,-129849] |
[a1,a2,a3,a4,a6] |
j |
7916293657/3139344 |
j-invariant |
L |
2.1589324867167 |
L(r)(E,1)/r! |
Ω |
0.53973312173607 |
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 |
3354a1 |
Quadratic twists by: 13 |