Atkin-Lehner |
5+ 11- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20735i |
Isogeny class |
Conductor |
20735 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
86592 |
Modular degree for the optimal curve |
Δ |
2227392578125 = 511 · 112 · 13 · 29 |
Discriminant |
Eigenvalues |
2 -3 5+ 1 11- 13+ -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5173,123903] |
[a1,a2,a3,a4,a6] |
j |
15309152433598464/2227392578125 |
j-invariant |
L |
1.5768895972193 |
L(r)(E,1)/r! |
Ω |
0.78844479860963 |
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 |
103675y1 |
Quadratic twists by: 5 |