Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
8190x |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
150866138752875000 = 23 · 36 · 56 · 73 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-183204,-23655240] |
[a1,a2,a3,a4,a6] |
Generators |
[-329:1127:1] |
Generators of the group modulo torsion |
j |
932829715460155969/206949435875000 |
j-invariant |
L |
3.5538809665569 |
L(r)(E,1)/r! |
Ω |
0.23441724309347 |
Real period |
R |
2.5267488287539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
65520dq4 910j4 40950dl4 57330s4 |
Quadratic twists by: -4 -3 5 -7 |