Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
53200cl |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-4170880000000 = -1 · 213 · 57 · 73 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 3 -5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1408,-100812] |
[a1,a2,a3,a4,a6] |
Generators |
[68:350:1] |
Generators of the group modulo torsion |
j |
-4826809/65170 |
j-invariant |
L |
4.0931089091284 |
L(r)(E,1)/r! |
Ω |
0.33325970769463 |
Real period |
R |
1.0235032955508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999832 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6650w1 10640k1 |
Quadratic twists by: -4 5 |