Atkin-Lehner |
2+ 3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
106032b |
Isogeny class |
Conductor |
106032 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
706560 |
Modular degree for the optimal curve |
Δ |
31516011077762304 = 28 · 35 · 477 |
Discriminant |
Eigenvalues |
2+ 3+ 1 1 -1 4 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-179665,28099789] |
[a1,a2,a3,a4,a6] |
j |
232428544/11421 |
j-invariant |
L |
0.73172831178972 |
L(r)(E,1)/r! |
Ω |
0.36586438652737 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53016a1 2256a1 |
Quadratic twists by: -4 -47 |