Atkin-Lehner |
2+ 3- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
103824r |
Isogeny class |
Conductor |
103824 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
31535259162349824 = 28 · 320 · 73 · 103 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 2 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1689231,845005390] |
[a1,a2,a3,a4,a6] |
j |
2856428429656600528/168977511801 |
j-invariant |
L |
2.1046630223492 |
L(r)(E,1)/r! |
Ω |
0.35077716752839 |
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 |
51912o2 34608f2 |
Quadratic twists by: -4 -3 |