Atkin-Lehner |
2+ 3- 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
3090b |
Isogeny class |
Conductor |
3090 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-158208000000000 = -1 · 218 · 3 · 59 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 0 -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9784,-711418] |
[a1,a2,a3,a4,a6] |
Generators |
[25203:752825:27] |
Generators of the group modulo torsion |
j |
-103564099802433529/158208000000000 |
j-invariant |
L |
2.7254537241207 |
L(r)(E,1)/r! |
Ω |
0.22771078640727 |
Real period |
R |
5.9844633781338 |
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 |
24720g3 98880m3 9270w3 15450s3 |
Quadratic twists by: -4 8 -3 5 |