Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
121296dm |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
1.4906110476092E+23 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 6 4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18801000,-25294686156] |
[a1,a2,a3,a4,a6] |
Generators |
[-2628:77274:1] |
Generators of the group modulo torsion |
j |
3814038123905521/773540010432 |
j-invariant |
L |
7.7310411316375 |
L(r)(E,1)/r! |
Ω |
0.073534121354799 |
Real period |
R |
3.7548366105579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15162g2 6384ba2 |
Quadratic twists by: -4 -19 |