Atkin-Lehner |
2- 3- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
8514j |
Isogeny class |
Conductor |
8514 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-54830730438 = -1 · 2 · 36 · 11 · 434 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,709,-8783] |
[a1,a2,a3,a4,a6] |
Generators |
[94:211:8] |
Generators of the group modulo torsion |
j |
54138849687/75213622 |
j-invariant |
L |
5.8082701654356 |
L(r)(E,1)/r! |
Ω |
0.59480220534275 |
Real period |
R |
4.8825223858145 |
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 |
68112bn3 946a4 93654o3 |
Quadratic twists by: -4 -3 -11 |