Atkin-Lehner |
2+ 3- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
12264b |
Isogeny class |
Conductor |
12264 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-78612043776 = -1 · 211 · 3 · 74 · 732 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 -4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1064,-19344] |
[a1,a2,a3,a4,a6] |
j |
-65106860114/38384787 |
j-invariant |
L |
1.6276676743405 |
L(r)(E,1)/r! |
Ω |
0.40691691858512 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24528c2 98112c2 36792i2 85848f2 |
Quadratic twists by: -4 8 -3 -7 |