Atkin-Lehner |
3- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
3045g |
Isogeny class |
Conductor |
3045 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2005141635 = -1 · 34 · 5 · 7 · 294 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,29,2156] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:46:1] |
Generators of the group modulo torsion |
j |
2691419471/2005141635 |
j-invariant |
L |
2.3126877099309 |
L(r)(E,1)/r! |
Ω |
1.1496614114067 |
Real period |
R |
0.50290626591986 |
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 |
48720bl3 9135g4 15225d4 21315i3 |
Quadratic twists by: -4 -3 5 -7 |