Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
15246n |
Isogeny class |
Conductor |
15246 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1610951225903712 = 25 · 38 · 78 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31752,-998816] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:686:1] |
Generators of the group modulo torsion |
j |
3648707754875/1660262688 |
j-invariant |
L |
3.5602911429103 |
L(r)(E,1)/r! |
Ω |
0.37336717010165 |
Real period |
R |
0.5959768674126 |
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 |
121968dh2 5082s2 106722ca2 15246be2 |
Quadratic twists by: -4 -3 -7 -11 |