Atkin-Lehner |
2- 3+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
48576by |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6880674594816 = 214 · 38 · 112 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10097,372945] |
[a1,a2,a3,a4,a6] |
j |
6949024664272/419963049 |
j-invariant |
L |
1.4710755529647 |
L(r)(E,1)/r! |
Ω |
0.7355377765281 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48576bt2 12144j2 |
Quadratic twists by: -4 8 |