Atkin-Lehner |
3- 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
25155i |
Isogeny class |
Conductor |
25155 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-262844595 = -1 · 37 · 5 · 13 · 432 |
Discriminant |
Eigenvalues |
0 3- 5- 3 -3 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-192,1287] |
[a1,a2,a3,a4,a6] |
Generators |
[35:193:1] |
Generators of the group modulo torsion |
j |
-1073741824/360555 |
j-invariant |
L |
5.1276436344078 |
L(r)(E,1)/r! |
Ω |
1.6474180558126 |
Real period |
R |
0.38906666831742 |
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 |
8385d1 125775w1 |
Quadratic twists by: -3 5 |