Atkin-Lehner |
5- 11- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20735n |
Isogeny class |
Conductor |
20735 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1520 |
Modular degree for the optimal curve |
Δ |
20735 = 5 · 11 · 13 · 29 |
Discriminant |
Eigenvalues |
1 -2 5- 3 11- 13+ 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8,3] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:2:1] |
Generators of the group modulo torsion |
j |
47045881/20735 |
j-invariant |
L |
5.0571709609274 |
L(r)(E,1)/r! |
Ω |
3.4510875018912 |
Real period |
R |
1.4653847397831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103675w1 |
Quadratic twists by: 5 |