Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800bj |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
270336000000 = 219 · 3 · 56 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-563233,-162509663] |
[a1,a2,a3,a4,a6] |
j |
4824238966273/66 |
j-invariant |
L |
1.3941755272329 |
L(r)(E,1)/r! |
Ω |
0.1742719407604 |
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 |
52800gp4 1650f3 2112r3 |
Quadratic twists by: -4 8 5 |