Atkin-Lehner |
2- 3- 19+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
56772c |
Isogeny class |
Conductor |
56772 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-24427401984 = -1 · 28 · 36 · 19 · 832 |
Discriminant |
Eigenvalues |
2- 3- -1 1 3 -2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47208,3947956] |
[a1,a2,a3,a4,a6] |
Generators |
[125:9:1] |
Generators of the group modulo torsion |
j |
-62345200132096/130891 |
j-invariant |
L |
5.7675800139336 |
L(r)(E,1)/r! |
Ω |
1.0300202350838 |
Real period |
R |
1.3998705602057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998159 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6308d1 |
Quadratic twists by: -3 |