Atkin-Lehner |
3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
3225f |
Isogeny class |
Conductor |
3225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
-54421875 = -1 · 34 · 56 · 43 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 -5 -3 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-483,3944] |
[a1,a2,a3,a4,a6] |
Generators |
[18:37:1] |
Generators of the group modulo torsion |
j |
-799178752/3483 |
j-invariant |
L |
3.4461981708994 |
L(r)(E,1)/r! |
Ω |
2.0002990124703 |
Real period |
R |
0.21535518873773 |
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 |
51600bt1 9675j1 129a1 |
Quadratic twists by: -4 -3 5 |