Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720eb |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
982273029120 = 210 · 312 · 5 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43968,3548248] |
[a1,a2,a3,a4,a6] |
j |
12592337649664/1315845 |
j-invariant |
L |
1.6869155168074 |
L(r)(E,1)/r! |
Ω |
0.84345775902868 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720q1 13680bm1 18240cw1 |
Quadratic twists by: -4 8 -3 |