Atkin-Lehner |
3- 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
5073g |
Isogeny class |
Conductor |
5073 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
12000 |
Modular degree for the optimal curve |
Δ |
-13012794116739 = -1 · 310 · 195 · 89 |
Discriminant |
Eigenvalues |
-1 3- -1 -4 3 -3 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12666,574407] |
[a1,a2,a3,a4,a6] |
Generators |
[99:492:1] |
Generators of the group modulo torsion |
j |
-224721335000834209/13012794116739 |
j-invariant |
L |
2.3777608302626 |
L(r)(E,1)/r! |
Ω |
0.69944268218654 |
Real period |
R |
0.067990155328511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81168bi1 15219g1 126825b1 96387c1 |
Quadratic twists by: -4 -3 5 -19 |