Atkin-Lehner |
2+ 3- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
33456g |
Isogeny class |
Conductor |
33456 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4477215744 = 210 · 32 · 172 · 412 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 4 -6 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-424,836] |
[a1,a2,a3,a4,a6] |
j |
8251733668/4372281 |
j-invariant |
L |
2.4163991297902 |
L(r)(E,1)/r! |
Ω |
1.2081995648998 |
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 |
16728e2 100368z2 |
Quadratic twists by: -4 -3 |