Atkin-Lehner |
2+ 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800bq |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
1254528000 = 210 · 34 · 53 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-613,5797] |
[a1,a2,a3,a4,a6] |
Generators |
[28:-99:1] [-27:44:1] |
Generators of the group modulo torsion |
j |
199344128/9801 |
j-invariant |
L |
8.045210397511 |
L(r)(E,1)/r! |
Ω |
1.5135136356624 |
Real period |
R |
1.3288962530538 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800hs1 3300r1 52800dn1 |
Quadratic twists by: -4 8 5 |