Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
8190ba |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
12272761405457280 = 27 · 39 · 5 · 78 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-74603,-5734853] |
[a1,a2,a3,a4,a6] |
Generators |
[-173:1490:1] |
Generators of the group modulo torsion |
j |
2332898469575883/623520876160 |
j-invariant |
L |
5.8462559213352 |
L(r)(E,1)/r! |
Ω |
0.29463925834718 |
Real period |
R |
1.4172914736798 |
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 |
65520bz2 8190c2 40950h2 57330df2 |
Quadratic twists by: -4 -3 5 -7 |