Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800p |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-7785676800 = -1 · 220 · 33 · 52 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 11+ 0 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,4257] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:64:1] |
Generators of the group modulo torsion |
j |
-625/1188 |
j-invariant |
L |
3.6158610649881 |
L(r)(E,1)/r! |
Ω |
1.0590006431058 |
Real period |
R |
0.85360218816577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000254 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800hc1 1650i1 52800dq1 |
Quadratic twists by: -4 8 5 |