Atkin-Lehner |
2+ 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
4032i |
Isogeny class |
Conductor |
4032 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-806182936033886208 = -1 · 219 · 322 · 72 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,222324,-15432464] |
[a1,a2,a3,a4,a6] |
j |
6359387729183/4218578658 |
j-invariant |
L |
0.64380215343298 |
L(r)(E,1)/r! |
Ω |
0.16095053835825 |
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 |
4032bl6 126b6 1344g6 100800fu5 |
Quadratic twists by: -4 8 -3 5 |