Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32448be |
Isogeny class |
Conductor |
32448 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1332380926476288 = 218 · 34 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-751937,-251213793] |
[a1,a2,a3,a4,a6] |
j |
37159393753/1053 |
j-invariant |
L |
5.8365657446258 |
L(r)(E,1)/r! |
Ω |
0.16212682623976 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32448ch4 507c3 97344cg4 2496k3 |
Quadratic twists by: -4 8 -3 13 |