Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800u |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
62726400000000 = 214 · 34 · 58 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-66033,-6498063] |
[a1,a2,a3,a4,a6] |
Generators |
[-144:63:1] |
Generators of the group modulo torsion |
j |
124386546256/245025 |
j-invariant |
L |
3.6901104188222 |
L(r)(E,1)/r! |
Ω |
0.2978585999 |
Real period |
R |
3.0971998291232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999177 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52800he2 6600q2 10560r2 |
Quadratic twists by: -4 8 5 |