Atkin-Lehner |
2- 3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129888o |
Isogeny class |
Conductor |
129888 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
25366441370688 = 26 · 311 · 113 · 412 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-970545,368020096] |
[a1,a2,a3,a4,a6] |
Generators |
[-153:22648:1] |
Generators of the group modulo torsion |
j |
2167021596455416000/543690873 |
j-invariant |
L |
6.8653323259937 |
L(r)(E,1)/r! |
Ω |
0.53515035421211 |
Real period |
R |
6.414395585094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000272608 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129888ba1 43296q1 |
Quadratic twists by: -4 -3 |