Atkin-Lehner |
2- 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
128700ba |
Isogeny class |
Conductor |
128700 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
6802210572300000000 = 28 · 39 · 58 · 112 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- 13- -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-670575,170077750] |
[a1,a2,a3,a4,a6] |
Generators |
[-685:17550:1] |
Generators of the group modulo torsion |
j |
11436108505936/2332719675 |
j-invariant |
L |
8.0672666851161 |
L(r)(E,1)/r! |
Ω |
0.22410914811997 |
Real period |
R |
0.74993839913874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009906 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42900z2 25740d2 |
Quadratic twists by: -3 5 |