Atkin-Lehner |
2- 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
38304ba |
Isogeny class |
Conductor |
38304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-203730702336 = -1 · 212 · 39 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 4 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,324,-21600] |
[a1,a2,a3,a4,a6] |
j |
46656/2527 |
j-invariant |
L |
1.917981003559 |
L(r)(E,1)/r! |
Ω |
0.47949525088779 |
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 |
38304f2 76608d1 38304a2 |
Quadratic twists by: -4 8 -3 |