Atkin-Lehner |
2+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
53200q |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4422250000000000 = 210 · 512 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 4 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-139075,-19704750] |
[a1,a2,a3,a4,a6] |
Generators |
[21243:510796:27] |
Generators of the group modulo torsion |
j |
18593062763076/276390625 |
j-invariant |
L |
6.5271597197771 |
L(r)(E,1)/r! |
Ω |
0.24744480405306 |
Real period |
R |
6.5945613050943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999344 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26600t2 10640b2 |
Quadratic twists by: -4 5 |