Atkin-Lehner |
2+ 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8190j |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1078008750000000 = 27 · 36 · 510 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-50625,4102461] |
[a1,a2,a3,a4,a6] |
j |
19683218700810001/1478750000000 |
j-invariant |
L |
0.96067207105607 |
L(r)(E,1)/r! |
Ω |
0.48033603552803 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65520da2 910k2 40950er2 57330cy2 |
Quadratic twists by: -4 -3 5 -7 |