Atkin-Lehner |
2- 3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
48240ba |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4523877734400000000 = 217 · 39 · 58 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-450603,-55519398] |
[a1,a2,a3,a4,a6] |
j |
125503173650763/56112500000 |
j-invariant |
L |
0.76843197181715 |
L(r)(E,1)/r! |
Ω |
0.19210799293156 |
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 |
6030q2 48240bf2 |
Quadratic twists by: -4 -3 |