Atkin-Lehner |
2+ 3+ 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54264d |
Isogeny class |
Conductor |
54264 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2653468304231248896 = 210 · 3 · 73 · 178 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7952512,8634160060] |
[a1,a2,a3,a4,a6] |
j |
54317129341885406212612/2591277640850829 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
108528g4 |
Quadratic twists by: -4 |