Atkin-Lehner |
2- 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129888bk |
Isogeny class |
Conductor |
129888 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
23293334592 = 26 · 39 · 11 · 412 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 11- -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1137,12800] |
[a1,a2,a3,a4,a6] |
Generators |
[28:-54:1] [-16:164:1] |
Generators of the group modulo torsion |
j |
3484156096/499257 |
j-invariant |
L |
7.8960148262061 |
L(r)(E,1)/r! |
Ω |
1.1536003336219 |
Real period |
R |
1.7111677683662 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999902799 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129888v1 43296h1 |
Quadratic twists by: -4 -3 |