Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720dr |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3440640 |
Modular degree for the optimal curve |
Δ |
-2.2500429524337E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2117652,-7118808752] |
[a1,a2,a3,a4,a6] |
Generators |
[160976:64589076:1] |
Generators of the group modulo torsion |
j |
5495662324535111/117739817533440 |
j-invariant |
L |
4.1318826846193 |
L(r)(E,1)/r! |
Ω |
0.05848496221122 |
Real period |
R |
8.8310792389802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720bl1 13680bx1 18240cq1 |
Quadratic twists by: -4 8 -3 |