Atkin-Lehner |
2+ 3- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32946g |
Isogeny class |
Conductor |
32946 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-45328471851618 = -1 · 2 · 32 · 178 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 4 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2752,328424] |
[a1,a2,a3,a4,a6] |
j |
-95443993/1877922 |
j-invariant |
L |
2.1507215969295 |
L(r)(E,1)/r! |
Ω |
0.53768039923133 |
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 |
98838bf2 1938a2 |
Quadratic twists by: -3 17 |