Atkin-Lehner |
2- 7- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
109564j |
Isogeny class |
Conductor |
109564 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
244985104 = 24 · 72 · 132 · 432 |
Discriminant |
Eigenvalues |
2- 1 1 7- -5 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-170,-463] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:13:1] [17:43:1] |
Generators of the group modulo torsion |
j |
697118464/312481 |
j-invariant |
L |
13.75277496252 |
L(r)(E,1)/r! |
Ω |
1.3780097297268 |
Real period |
R |
0.83168105079261 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001644 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109564e1 |
Quadratic twists by: -7 |