Atkin-Lehner |
3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
3225g |
Isogeny class |
Conductor |
3225 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-105306328125 = -1 · 36 · 57 · 432 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 -2 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,62,15617] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:119:1] |
Generators of the group modulo torsion |
j |
1685159/6739605 |
j-invariant |
L |
2.26968646152 |
L(r)(E,1)/r! |
Ω |
0.83286110065162 |
Real period |
R |
0.22709733749364 |
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 |
51600bv2 9675o2 645b2 |
Quadratic twists by: -4 -3 5 |