Atkin-Lehner |
2+ 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
3190a |
Isogeny class |
Conductor |
3190 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-2470336000 = -1 · 29 · 53 · 113 · 29 |
Discriminant |
Eigenvalues |
2+ -2 5+ -1 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-964,-11838] |
[a1,a2,a3,a4,a6] |
j |
-98925223576249/2470336000 |
j-invariant |
L |
0.42782250285089 |
L(r)(E,1)/r! |
Ω |
0.42782250285089 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25520n2 102080t2 28710bq2 15950m2 |
Quadratic twists by: -4 8 -3 5 |