Atkin-Lehner |
3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
3225g |
Isogeny class |
Conductor |
3225 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
453515625 = 33 · 58 · 43 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 -2 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-563,4992] |
[a1,a2,a3,a4,a6] |
Generators |
[7:34:1] |
Generators of the group modulo torsion |
j |
1263214441/29025 |
j-invariant |
L |
2.26968646152 |
L(r)(E,1)/r! |
Ω |
1.6657222013032 |
Real period |
R |
0.45419467498728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51600bv1 9675o1 645b1 |
Quadratic twists by: -4 -3 5 |