Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40128x |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-3.4042308427504E+20 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,860863,-832480737] |
[a1,a2,a3,a4,a6] |
Generators |
[874:24255:1] |
Generators of the group modulo torsion |
j |
269144439804255023/1298611008739638 |
j-invariant |
L |
8.6635823413887 |
L(r)(E,1)/r! |
Ω |
0.086050541480243 |
Real period |
R |
4.1950066943013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40128bi5 1254g6 120384s5 |
Quadratic twists by: -4 8 -3 |