Atkin-Lehner |
2- 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
127296ds |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
1490471707825152 = 210 · 318 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 2 13- 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36336,1912376] |
[a1,a2,a3,a4,a6] |
Generators |
[158:340:1] |
Generators of the group modulo torsion |
j |
7107347955712/1996623837 |
j-invariant |
L |
5.6041193641966 |
L(r)(E,1)/r! |
Ω |
0.4449247734343 |
Real period |
R |
3.1489140170185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998962413 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296bq1 31824bc1 42432bt1 |
Quadratic twists by: -4 8 -3 |