Atkin-Lehner |
2- 3+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32946q |
Isogeny class |
Conductor |
32946 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
8036564530374 = 2 · 316 · 173 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 2 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5769,96801] |
[a1,a2,a3,a4,a6] |
j |
4321985145569/1635775398 |
j-invariant |
L |
2.694475226651 |
L(r)(E,1)/r! |
Ω |
0.67361880666154 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98838k2 32946u2 |
Quadratic twists by: -3 17 |