Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800h |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6969600000000 = 214 · 32 · 58 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6033,-126063] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:225:1] |
Generators of the group modulo torsion |
j |
94875856/27225 |
j-invariant |
L |
4.7317104335444 |
L(r)(E,1)/r! |
Ω |
0.55354957067994 |
Real period |
R |
2.1369858654735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52800gv2 6600bc2 10560p2 |
Quadratic twists by: -4 8 5 |