Atkin-Lehner |
2+ 3+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
3486c |
Isogeny class |
Conductor |
3486 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
27905492748 = 22 · 3 · 72 · 834 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3279,70473] |
[a1,a2,a3,a4,a6] |
j |
3900810873230713/27905492748 |
j-invariant |
L |
1.1895936731881 |
L(r)(E,1)/r! |
Ω |
1.1895936731881 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27888bj4 111552be4 10458s3 87150cq4 |
Quadratic twists by: -4 8 -3 5 |