Atkin-Lehner |
2- 3+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
48576cw |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
2.0890510515687E+22 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 11- 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11029217,-12260211327] |
[a1,a2,a3,a4,a6] |
j |
566001880654007645497/79690973341699632 |
j-invariant |
L |
2.0068859435167 |
L(r)(E,1)/r! |
Ω |
0.083620247648814 |
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 |
48576ba4 12144bh3 |
Quadratic twists by: -4 8 |