Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
8190bk |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-5484152255400 = -1 · 23 · 316 · 52 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3397,82131] |
[a1,a2,a3,a4,a6] |
Generators |
[5:312:1] |
Generators of the group modulo torsion |
j |
5948434379159/7522842600 |
j-invariant |
L |
6.0665115660786 |
L(r)(E,1)/r! |
Ω |
0.51158302328371 |
Real period |
R |
0.98819274193582 |
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 |
65520cs2 2730j2 40950t2 57330ex2 |
Quadratic twists by: -4 -3 5 -7 |