Atkin-Lehner |
2+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
58136d |
Isogeny class |
Conductor |
58136 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
-319980544 = -1 · 210 · 132 · 432 |
Discriminant |
Eigenvalues |
2+ 2 -1 2 0 13+ -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1096,14364] |
[a1,a2,a3,a4,a6] |
Generators |
[18:12:1] |
Generators of the group modulo torsion |
j |
-842102404/1849 |
j-invariant |
L |
8.9636324236497 |
L(r)(E,1)/r! |
Ω |
1.7204527585587 |
Real period |
R |
1.3025106878274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999945 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116272l1 58136j1 |
Quadratic twists by: -4 13 |