Atkin-Lehner |
2- 3+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
48576by |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
713740806586368 = 216 · 316 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30337,-1566047] |
[a1,a2,a3,a4,a6] |
j |
47116822207108/10890820413 |
j-invariant |
L |
1.4710755529647 |
L(r)(E,1)/r! |
Ω |
0.36776888826405 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48576bt3 12144j3 |
Quadratic twists by: -4 8 |