Atkin-Lehner |
2+ 3- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
129456j |
Isogeny class |
Conductor |
129456 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
-304092144 = -1 · 24 · 36 · 292 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -1 3 4 0 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,-839] |
[a1,a2,a3,a4,a6] |
Generators |
[644:783:64] |
Generators of the group modulo torsion |
j |
-256/26071 |
j-invariant |
L |
8.8858428315911 |
L(r)(E,1)/r! |
Ω |
0.78807519868368 |
Real period |
R |
2.818843553771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000063929 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64728c1 14384b1 |
Quadratic twists by: -4 -3 |