Atkin-Lehner |
2- 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10032q |
Isogeny class |
Conductor |
10032 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
46020670141906944 = 214 · 312 · 114 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-152624,20447316] |
[a1,a2,a3,a4,a6] |
j |
95992014075197617/11235515171364 |
j-invariant |
L |
2.0821252549331 |
L(r)(E,1)/r! |
Ω |
0.34702087582218 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
1254g3 40128bi4 30096w4 110352ck4 |
Quadratic twists by: -4 8 -3 -11 |