Atkin-Lehner |
2- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
32144bf |
Isogeny class |
Conductor |
32144 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
5.2556109897656E+21 |
Discriminant |
Eigenvalues |
2- -3 1 7- 2 0 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7535269147,-251765528891702] |
[a1,a2,a3,a4,a6] |
j |
98191033604529537629349729/10906239337336 |
j-invariant |
L |
0.90742949075534 |
L(r)(E,1)/r! |
Ω |
0.016204098049082 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4018s2 128576dc2 4592f2 |
Quadratic twists by: -4 8 -7 |