Atkin-Lehner |
2- 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
20368b |
Isogeny class |
Conductor |
20368 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1608 |
Modular degree for the optimal curve |
Δ |
-386992 = -1 · 24 · 192 · 67 |
Discriminant |
Eigenvalues |
2- 0 2 -2 -6 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,16,-17] |
[a1,a2,a3,a4,a6] |
j |
28311552/24187 |
j-invariant |
L |
0.82891229058204 |
L(r)(E,1)/r! |
Ω |
1.6578245811641 |
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 |
5092a1 81472d1 |
Quadratic twists by: -4 8 |