Atkin-Lehner |
3+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
54777a |
Isogeny class |
Conductor |
54777 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
50587709817 = 3 · 19 · 316 |
Discriminant |
Eigenvalues |
1 3+ -2 0 0 -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1461,17976] |
[a1,a2,a3,a4,a6] |
j |
389017/57 |
j-invariant |
L |
0.54026925843745 |
L(r)(E,1)/r! |
Ω |
1.0805385163769 |
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 |
57b2 |
Quadratic twists by: -31 |