Atkin-Lehner |
3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4275n |
Isogeny class |
Conductor |
4275 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-6834663410625 = -1 · 313 · 54 · 193 |
Discriminant |
Eigenvalues |
1 3- 5- 0 -5 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4158,-72959] |
[a1,a2,a3,a4,a6] |
Generators |
[104:1163:1] |
Generators of the group modulo torsion |
j |
17446602575/15000633 |
j-invariant |
L |
4.3057593350684 |
L(r)(E,1)/r! |
Ω |
0.41243135706624 |
Real period |
R |
0.8699951441004 |
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 |
68400gi1 1425e1 4275h1 81225bp1 |
Quadratic twists by: -4 -3 5 -19 |