Atkin-Lehner |
2- 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
127296dl |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
60335114569187328 = 216 · 38 · 134 · 173 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -4 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-514380,141502736] |
[a1,a2,a3,a4,a6] |
Generators |
[602:-7072:1] |
Generators of the group modulo torsion |
j |
315042014258500/1262881737 |
j-invariant |
L |
5.0027710297927 |
L(r)(E,1)/r! |
Ω |
0.35258794094413 |
Real period |
R |
0.59119660313696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959128 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296bj1 31824j1 42432br1 |
Quadratic twists by: -4 8 -3 |