Atkin-Lehner |
3- 7+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20097f |
Isogeny class |
Conductor |
20097 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1931790522675321 = 318 · 72 · 112 · 292 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 11+ 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4883571,-4152662888] |
[a1,a2,a3,a4,a6] |
j |
17668869054438249282097/2649918412449 |
j-invariant |
L |
1.8280483702098 |
L(r)(E,1)/r! |
Ω |
0.10155824278943 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6699d2 |
Quadratic twists by: -3 |