Atkin-Lehner |
2- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
42350br |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-81523750000 = -1 · 24 · 57 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11+ 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1037,5281] |
[a1,a2,a3,a4,a6] |
j |
5929741/3920 |
j-invariant |
L |
5.4273867974148 |
L(r)(E,1)/r! |
Ω |
0.67842334964123 |
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 |
8470g1 42350r1 |
Quadratic twists by: 5 -11 |