Atkin-Lehner |
2- 3+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
13632n |
Isogeny class |
Conductor |
13632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1486651392 = 215 · 32 · 712 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 6 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-289,-287] |
[a1,a2,a3,a4,a6] |
j |
81746504/45369 |
j-invariant |
L |
2.4815144978777 |
L(r)(E,1)/r! |
Ω |
1.2407572489389 |
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 |
13632t2 6816c2 40896bz2 |
Quadratic twists by: -4 8 -3 |