Atkin-Lehner |
2+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
32704a |
Isogeny class |
Conductor |
32704 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
70094134706176 = 228 · 72 · 732 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-348844,79302960] |
[a1,a2,a3,a4,a6] |
j |
17909256772123137/267387904 |
j-invariant |
L |
2.2535850579271 |
L(r)(E,1)/r! |
Ω |
0.56339626448211 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32704d2 1022b2 |
Quadratic twists by: -4 8 |