Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40128ba |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-205392053512470528 = -1 · 215 · 34 · 118 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-160289,32894367] |
[a1,a2,a3,a4,a6] |
Generators |
[-4947:-202312:27] |
Generators of the group modulo torsion |
j |
-13899130898066504/6268068039321 |
j-invariant |
L |
4.8518415128393 |
L(r)(E,1)/r! |
Ω |
0.29624340423526 |
Real period |
R |
1.0236180458948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40128h3 20064q4 120384r3 |
Quadratic twists by: -4 8 -3 |