Atkin-Lehner |
2+ 3+ 7+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
96642f |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-1471460847948 = -1 · 22 · 39 · 7 · 13 · 593 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 2 13- 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9303,352601] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:814:1] |
Generators of the group modulo torsion |
j |
-4524053598819/74757956 |
j-invariant |
L |
3.9885133111544 |
L(r)(E,1)/r! |
Ω |
0.85197863779144 |
Real period |
R |
0.39012258524221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015541 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96642bh1 |
Quadratic twists by: -3 |