Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720eq |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
108928696320 = 219 · 37 · 5 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1751052,891859984] |
[a1,a2,a3,a4,a6] |
j |
3107086841064961/570 |
j-invariant |
L |
2.4503040251775 |
L(r)(E,1)/r! |
Ω |
0.61257600647395 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
54720co4 13680bh4 18240cm3 |
Quadratic twists by: -4 8 -3 |