Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800h |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
2640000000 = 210 · 3 · 57 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5533,-156563] |
[a1,a2,a3,a4,a6] |
Generators |
[101:552:1] |
Generators of the group modulo torsion |
j |
1171019776/165 |
j-invariant |
L |
4.7317104335444 |
L(r)(E,1)/r! |
Ω |
0.55354957067994 |
Real period |
R |
4.2739717309469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800gv1 6600bc1 10560p1 |
Quadratic twists by: -4 8 5 |