Atkin-Lehner |
2+ 43+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
32336d |
Isogeny class |
Conductor |
32336 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1045616896 = 28 · 432 · 472 |
Discriminant |
Eigenvalues |
2+ 0 2 -4 -4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-679,6630] |
[a1,a2,a3,a4,a6] |
j |
135236234448/4084441 |
j-invariant |
L |
0.77431519299148 |
L(r)(E,1)/r! |
Ω |
1.5486303859792 |
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 |
16168c2 129344be2 |
Quadratic twists by: -4 8 |