Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
4032bl |
Isogeny class |
Conductor |
4032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
48157949952 = 220 · 38 · 7 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-774156,262174736] |
[a1,a2,a3,a4,a6] |
j |
268498407453697/252 |
j-invariant |
L |
1.4188454831201 |
L(r)(E,1)/r! |
Ω |
0.70942274156003 |
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 |
4032i3 1008l4 1344m3 100800lz4 |
Quadratic twists by: -4 8 -3 5 |