Atkin-Lehner |
2+ 3+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
32472b |
Isogeny class |
Conductor |
32472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
25996639502592 = 28 · 33 · 113 · 414 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11+ 6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8055,131338] |
[a1,a2,a3,a4,a6] |
j |
8362124262000/3761087891 |
j-invariant |
L |
2.4036336489386 |
L(r)(E,1)/r! |
Ω |
0.60090841223445 |
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 |
64944g1 32472k1 |
Quadratic twists by: -4 -3 |