Atkin-Lehner |
2- 3- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
27612g |
Isogeny class |
Conductor |
27612 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-3864796416 = -1 · 28 · 39 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 3- -3 -4 3 13- 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7959,-273314] |
[a1,a2,a3,a4,a6] |
Generators |
[122:756:1] |
Generators of the group modulo torsion |
j |
-298766385232/20709 |
j-invariant |
L |
3.2689357512557 |
L(r)(E,1)/r! |
Ω |
0.25272786394743 |
Real period |
R |
3.2336519014933 |
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 |
110448bp1 9204d1 |
Quadratic twists by: -4 -3 |