Atkin-Lehner |
2- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
42320z |
Isogeny class |
Conductor |
42320 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-592143556000000 = -1 · 28 · 56 · 236 |
Discriminant |
Eigenvalues |
2- 2 5- 2 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19220,-1550068] |
[a1,a2,a3,a4,a6] |
j |
-20720464/15625 |
j-invariant |
L |
5.3003063500869 |
L(r)(E,1)/r! |
Ω |
0.19630764260099 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10580m4 80b3 |
Quadratic twists by: -4 -23 |