Atkin-Lehner |
5- 11+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20735l |
Isogeny class |
Conductor |
20735 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
479808 |
Modular degree for the optimal curve |
Δ |
2119848080785703125 = 57 · 112 · 13 · 297 |
Discriminant |
Eigenvalues |
0 -1 5- 5 11+ 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2150325,-1210940469] |
[a1,a2,a3,a4,a6] |
j |
1099603785946215686864896/2119848080785703125 |
j-invariant |
L |
1.7456285797091 |
L(r)(E,1)/r! |
Ω |
0.12468775569351 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103675j1 |
Quadratic twists by: 5 |