Atkin-Lehner |
3- 23- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
84111b |
Isogeny class |
Conductor |
84111 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1979780018888961 = 32 · 238 · 532 |
Discriminant |
Eigenvalues |
1 3- 2 4 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-43125,-2705189] |
[a1,a2,a3,a4,a6] |
Generators |
[-49284999280421094258630853488:-133707885497463146877118465669:317097616713026262663499776] |
Generators of the group modulo torsion |
j |
59914169497/13373649 |
j-invariant |
L |
13.874036031821 |
L(r)(E,1)/r! |
Ω |
0.33658335656522 |
Real period |
R |
41.220208172434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000492 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3657a2 |
Quadratic twists by: -23 |