Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
10416bo |
Isogeny class |
Conductor |
10416 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
211873377603944448 = 217 · 36 · 74 · 314 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2006352,1092959892] |
[a1,a2,a3,a4,a6] |
Generators |
[834:672:1] |
Generators of the group modulo torsion |
j |
218064699967398378193/51726898829088 |
j-invariant |
L |
6.2041619231693 |
L(r)(E,1)/r! |
Ω |
0.30797255889687 |
Real period |
R |
0.83938240382413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1302j3 41664db4 31248cj4 72912bk4 |
Quadratic twists by: -4 8 -3 -7 |