Atkin-Lehner |
2+ 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
75690w |
Isogeny class |
Conductor |
75690 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3456350546400 = 25 · 311 · 52 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10824219,-13704311867] |
[a1,a2,a3,a4,a6] |
Generators |
[14087:1614419:1] [-81430265:40699639:42875] |
Generators of the group modulo torsion |
j |
7888454487007174781/194400 |
j-invariant |
L |
8.0637318097061 |
L(r)(E,1)/r! |
Ω |
0.083233931776221 |
Real period |
R |
48.440171199199 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000076 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25230q4 75690br4 |
Quadratic twists by: -3 29 |