Atkin-Lehner |
2+ 3+ 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54264d |
Isogeny class |
Conductor |
54264 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-69314287314870192 = -1 · 24 · 3 · 712 · 172 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,65113,10912308] |
[a1,a2,a3,a4,a6] |
j |
1908095800666744832/4332142957179387 |
j-invariant |
L |
1.4472926520678 |
L(r)(E,1)/r! |
Ω |
0.24121544210137 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
108528g1 |
Quadratic twists by: -4 |