Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
8190y |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-105789974062500000 = -1 · 25 · 312 · 510 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-90774,18882580] |
[a1,a2,a3,a4,a6] |
Generators |
[131:2972:1] |
Generators of the group modulo torsion |
j |
-113470585236878689/145116562500000 |
j-invariant |
L |
3.5775562825454 |
L(r)(E,1)/r! |
Ω |
0.30247358808389 |
Real period |
R |
0.59138325187474 |
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 |
65520dw2 2730t2 40950dp2 57330z2 |
Quadratic twists by: -4 -3 5 -7 |