Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
25872bk |
Isogeny class |
Conductor |
25872 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
42507061825536 = 212 · 36 · 76 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9032,106800] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:490:1] |
Generators of the group modulo torsion |
j |
169112377/88209 |
j-invariant |
L |
5.1944091319695 |
L(r)(E,1)/r! |
Ω |
0.5649352942715 |
Real period |
R |
2.2986743723756 |
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 |
1617j2 103488iu2 77616gn2 528h2 |
Quadratic twists by: -4 8 -3 -7 |