Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
52200bp |
Isogeny class |
Conductor |
52200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
96323681250000 = 24 · 312 · 58 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39639450,-96059327875] |
[a1,a2,a3,a4,a6] |
Generators |
[18036857317630510:47822905488112065675:2565726409] |
Generators of the group modulo torsion |
j |
37795407757392787456/528525 |
j-invariant |
L |
6.5355397824829 |
L(r)(E,1)/r! |
Ω |
0.060168287338217 |
Real period |
R |
27.155251011671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000056 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104400m1 17400d1 10440d1 |
Quadratic twists by: -4 -3 5 |