Atkin-Lehner |
3- 5+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
8745g |
Isogeny class |
Conductor |
8745 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
351958921875 = 36 · 56 · 11 · 532 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11+ 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-42906,-3424239] |
[a1,a2,a3,a4,a6] |
Generators |
[-120:69:1] |
Generators of the group modulo torsion |
j |
8735312174794347169/351958921875 |
j-invariant |
L |
3.0807005222756 |
L(r)(E,1)/r! |
Ω |
0.33171953260196 |
Real period |
R |
1.5478439964584 |
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 |
26235k2 43725a2 96195u2 |
Quadratic twists by: -3 5 -11 |