Atkin-Lehner |
2+ 3- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
103824q |
Isogeny class |
Conductor |
103824 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
206230583728382976 = 210 · 318 · 72 · 1032 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1577019,761947450] |
[a1,a2,a3,a4,a6] |
j |
581041302171984868/276264820881 |
j-invariant |
L |
4.9947410942628 |
L(r)(E,1)/r! |
Ω |
0.31217133253234 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
51912f2 34608g2 |
Quadratic twists by: -4 -3 |