Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800u |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
10541520000000 = 210 · 32 · 57 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5533,-24563] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:363:1] |
Generators of the group modulo torsion |
j |
1171019776/658845 |
j-invariant |
L |
3.6901104188222 |
L(r)(E,1)/r! |
Ω |
0.5957171998 |
Real period |
R |
1.5485999145616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999177 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800he1 6600q1 10560r1 |
Quadratic twists by: -4 8 5 |