Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720dm |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-25870565376000 = -1 · 218 · 37 · 53 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,852,-244528] |
[a1,a2,a3,a4,a6] |
Generators |
[1658:67520:1] |
Generators of the group modulo torsion |
j |
357911/135375 |
j-invariant |
L |
6.7268185565517 |
L(r)(E,1)/r! |
Ω |
0.31394337134858 |
Real period |
R |
5.3567133203437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720bj1 13680bu1 18240cc1 |
Quadratic twists by: -4 8 -3 |