Atkin-Lehner |
2+ 5- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
43550j |
Isogeny class |
Conductor |
43550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
315594656000 = 28 · 53 · 133 · 672 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 0 13+ -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2015,21125] |
[a1,a2,a3,a4,a6] |
j |
7243952165549/2524757248 |
j-invariant |
L |
1.7757513465851 |
L(r)(E,1)/r! |
Ω |
0.88787567331473 |
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 |
43550bc1 |
Quadratic twists by: 5 |