Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10416k |
Isogeny class |
Conductor |
10416 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
4499712 = 28 · 34 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-84,252] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:24:1] |
Generators of the group modulo torsion |
j |
259108432/17577 |
j-invariant |
L |
4.9768927348445 |
L(r)(E,1)/r! |
Ω |
2.4036561097366 |
Real period |
R |
1.0352755360229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5208j1 41664cq1 31248r1 72912p1 |
Quadratic twists by: -4 8 -3 -7 |