Atkin-Lehner |
2+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
20672k |
Isogeny class |
Conductor |
20672 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
54698442752 = 219 · 172 · 192 |
Discriminant |
Eigenvalues |
2+ 2 -4 4 -2 6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-246465,47177921] |
[a1,a2,a3,a4,a6] |
j |
6316133726112049/208658 |
j-invariant |
L |
3.2919998113499 |
L(r)(E,1)/r! |
Ω |
0.82299995283749 |
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 |
20672x2 646c2 |
Quadratic twists by: -4 8 |