Atkin-Lehner |
2+ 3+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
48576n |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
254839799808 = 214 · 35 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 4 0 11+ 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5521,157873] |
[a1,a2,a3,a4,a6] |
j |
1136150003536/15554187 |
j-invariant |
L |
3.9482294420862 |
L(r)(E,1)/r! |
Ω |
0.9870573606101 |
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 |
48576dq2 3036j2 |
Quadratic twists by: -4 8 |