Atkin-Lehner |
2- 3- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
3612f |
Isogeny class |
Conductor |
3612 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
76473190257408 = 28 · 310 · 76 · 43 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 2 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28012,1745492] |
[a1,a2,a3,a4,a6] |
j |
9495800976618448/298723399443 |
j-invariant |
L |
3.0432211762528 |
L(r)(E,1)/r! |
Ω |
0.60864423525057 |
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 |
14448t2 57792g2 10836d2 90300k2 |
Quadratic twists by: -4 8 -3 5 |