Atkin-Lehner |
2- 3- 5- 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
89010bx |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
9.3466467508122E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-70772747,224411890331] |
[a1,a2,a3,a4,a6] |
Generators |
[5709:77254:1] |
Generators of the group modulo torsion |
j |
53776723301303176132121449/1282118895859008637440 |
j-invariant |
L |
9.5864405920393 |
L(r)(E,1)/r! |
Ω |
0.088156963936928 |
Real period |
R |
0.75515876639299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963681 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29670p3 |
Quadratic twists by: -3 |