Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32448bh |
Isogeny class |
Conductor |
32448 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
25622710124544 = 216 · 34 · 136 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16449,-780129] |
[a1,a2,a3,a4,a6] |
j |
1556068/81 |
j-invariant |
L |
1.6917100566115 |
L(r)(E,1)/r! |
Ω |
0.42292751415265 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32448ci3 4056a3 97344bp3 192c3 |
Quadratic twists by: -4 8 -3 13 |