Atkin-Lehner |
3- 7+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20097f |
Isogeny class |
Conductor |
20097 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-38522621081317527 = -1 · 312 · 7 · 114 · 294 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 11+ 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-304326,-65228801] |
[a1,a2,a3,a4,a6] |
j |
-4275768267198290017/52843101620463 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
6699d1 |
Quadratic twists by: -3 |