Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720v |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
2728536192000 = 210 · 310 · 53 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 4 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-121728,-16346648] |
[a1,a2,a3,a4,a6] |
j |
267219216891904/3655125 |
j-invariant |
L |
2.0447596970884 |
L(r)(E,1)/r! |
Ω |
0.25559496212624 |
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 |
54720dx1 3420e1 18240bl1 |
Quadratic twists by: -4 8 -3 |