Atkin-Lehner |
3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28611b |
Isogeny class |
Conductor |
28611 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
57487072245867 = 39 · 112 · 176 |
Discriminant |
Eigenvalues |
1 3+ -4 2 11+ -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-43404,-3450511] |
[a1,a2,a3,a4,a6] |
Generators |
[21556:275827:64] |
Generators of the group modulo torsion |
j |
19034163/121 |
j-invariant |
L |
4.0036058164265 |
L(r)(E,1)/r! |
Ω |
0.33088948466773 |
Real period |
R |
6.0497628391648 |
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 |
28611e2 99c2 |
Quadratic twists by: -3 17 |