Atkin-Lehner |
2- 3+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
29328k |
Isogeny class |
Conductor |
29328 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-1268846592 = -1 · 212 · 3 · 133 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 0 -3 -1 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-488,4656] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-26:1] |
Generators of the group modulo torsion |
j |
-3144219625/309777 |
j-invariant |
L |
3.391867703893 |
L(r)(E,1)/r! |
Ω |
1.4939544021259 |
Real period |
R |
0.37839928928067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1833e1 117312cn1 87984bw1 |
Quadratic twists by: -4 8 -3 |