Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296ch |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
345527734735872 = 210 · 312 · 133 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 2 0 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20856,737656] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:1156:1] |
Generators of the group modulo torsion |
j |
1343969093632/462866157 |
j-invariant |
L |
5.9941282901457 |
L(r)(E,1)/r! |
Ω |
0.49596432458932 |
Real period |
R |
3.0214513393404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982714 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296i1 31824m1 42432cg1 |
Quadratic twists by: -4 8 -3 |