Atkin-Lehner |
2+ 3- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
8946f |
Isogeny class |
Conductor |
8946 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
-1282205417472 = -1 · 217 · 39 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 0 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1584,48384] |
[a1,a2,a3,a4,a6] |
Generators |
[15:267:1] |
Generators of the group modulo torsion |
j |
602708730623/1758855168 |
j-invariant |
L |
3.7128070770104 |
L(r)(E,1)/r! |
Ω |
0.60536457320403 |
Real period |
R |
3.0665876740684 |
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 |
71568bv1 2982i1 62622ba1 |
Quadratic twists by: -4 -3 -7 |