Atkin-Lehner |
2- 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
32560i |
Isogeny class |
Conductor |
32560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-26503840000 = -1 · 28 · 54 · 112 · 372 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11- 6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,337,-7462] |
[a1,a2,a3,a4,a6] |
Generators |
[274:1683:8] |
Generators of the group modulo torsion |
j |
16533829296/103530625 |
j-invariant |
L |
4.8367106340505 |
L(r)(E,1)/r! |
Ω |
0.59385155889962 |
Real period |
R |
4.0723229244466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8140a2 |
Quadratic twists by: -4 |