Atkin-Lehner |
2+ 3- 41- |
Signs for the Atkin-Lehner involutions |
Class |
5904g |
Isogeny class |
Conductor |
5904 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-206592768 = -1 · 28 · 39 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 -3 -6 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,60,668] |
[a1,a2,a3,a4,a6] |
Generators |
[1:27:1] |
Generators of the group modulo torsion |
j |
128000/1107 |
j-invariant |
L |
4.0488983161049 |
L(r)(E,1)/r! |
Ω |
1.3033268128525 |
Real period |
R |
1.5532935700307 |
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 |
2952c1 23616bx1 1968a1 |
Quadratic twists by: -4 8 -3 |