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 |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
426016391625 = 312 · 53 · 112 · 53 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11+ 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2811,-48240] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:69:1] |
Generators of the group modulo torsion |
j |
2456495116247089/426016391625 |
j-invariant |
L |
3.0807005222756 |
L(r)(E,1)/r! |
Ω |
0.66343906520392 |
Real period |
R |
0.77392199822922 |
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 |
26235k1 43725a1 96195u1 |
Quadratic twists by: -3 5 -11 |