Atkin-Lehner |
2- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
42772a |
Isogeny class |
Conductor |
42772 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
228631053568 = 28 · 176 · 37 |
Discriminant |
Eigenvalues |
2- 1 4 3 -5 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1541,-4153] |
[a1,a2,a3,a4,a6] |
j |
65536/37 |
j-invariant |
L |
4.9258900425886 |
L(r)(E,1)/r! |
Ω |
0.82098167377574 |
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 |
148a1 |
Quadratic twists by: 17 |