Atkin-Lehner |
7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27209d |
Isogeny class |
Conductor |
27209 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
777116249 = 7 · 136 · 23 |
Discriminant |
Eigenvalues |
1 0 -2 7+ -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-623,-5680] |
[a1,a2,a3,a4,a6] |
Generators |
[-8120:6505:512] |
Generators of the group modulo torsion |
j |
5545233/161 |
j-invariant |
L |
3.2173658546474 |
L(r)(E,1)/r! |
Ω |
0.95722874076899 |
Real period |
R |
6.722250842704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
161a2 |
Quadratic twists by: 13 |