Atkin-Lehner |
2- 3+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
48576ct |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
28315533312 = 214 · 33 · 112 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11- -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-913,-6575] |
[a1,a2,a3,a4,a6] |
j |
5142706000/1728243 |
j-invariant |
L |
1.7839669468662 |
L(r)(E,1)/r! |
Ω |
0.89198347389904 |
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 |
48576x2 12144be2 |
Quadratic twists by: -4 8 |