Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
106470fl |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
211893399900 = 22 · 39 · 52 · 72 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-67307,-6704161] |
[a1,a2,a3,a4,a6] |
Generators |
[507:9196:1] |
Generators of the group modulo torsion |
j |
21054298635397/132300 |
j-invariant |
L |
11.572384770586 |
L(r)(E,1)/r! |
Ω |
0.2964047534139 |
Real period |
R |
2.4401567083627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010067 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35490ba2 106470bz2 |
Quadratic twists by: -3 13 |