Atkin-Lehner |
2+ 3- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
110466i |
Isogeny class |
Conductor |
110466 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
128812105621473156 = 22 · 38 · 172 · 198 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-134901,8128417] |
[a1,a2,a3,a4,a6] |
Generators |
[-388:1589:1] |
Generators of the group modulo torsion |
j |
7916293657/3755844 |
j-invariant |
L |
5.7660531864196 |
L(r)(E,1)/r! |
Ω |
0.29384422980927 |
Real period |
R |
4.9057056556885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999759845 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36822u2 5814p2 |
Quadratic twists by: -3 -19 |