Atkin-Lehner |
3+ 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
3477a |
Isogeny class |
Conductor |
3477 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
4041183120759 = 320 · 19 · 61 |
Discriminant |
Eigenvalues |
1 3+ -2 0 -4 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7411,-228830] |
[a1,a2,a3,a4,a6] |
Generators |
[3537930:26178331:27000] |
Generators of the group modulo torsion |
j |
45024169766542777/4041183120759 |
j-invariant |
L |
3.1041910712808 |
L(r)(E,1)/r! |
Ω |
0.51749609300753 |
Real period |
R |
11.996964279441 |
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 |
55632w3 10431b4 86925l3 66063h3 |
Quadratic twists by: -4 -3 5 -19 |