Atkin-Lehner |
2+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
4232a |
Isogeny class |
Conductor |
4232 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
160380897855488 = 211 · 238 |
Discriminant |
Eigenvalues |
2+ 0 0 -4 -6 -2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18515,-754354] |
[a1,a2,a3,a4,a6] |
j |
2315250/529 |
j-invariant |
L |
0.41599560241543 |
L(r)(E,1)/r! |
Ω |
0.41599560241543 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8464a2 33856a2 38088s2 105800u2 |
Quadratic twists by: -4 8 -3 5 |