Atkin-Lehner |
2- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
27104m |
Isogeny class |
Conductor |
27104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
44444922368 = 29 · 72 · 116 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 11- 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1008,-6664] |
[a1,a2,a3,a4,a6] |
Generators |
[-142450:693987:10648] |
Generators of the group modulo torsion |
j |
125000/49 |
j-invariant |
L |
7.5767338258073 |
L(r)(E,1)/r! |
Ω |
0.87609537287585 |
Real period |
R |
8.6482979597713 |
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 |
27104x2 54208ch2 224b2 |
Quadratic twists by: -4 8 -11 |