Atkin-Lehner |
3- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4389f |
Isogeny class |
Conductor |
4389 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1034850081573 = 312 · 7 · 114 · 19 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 11+ 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2547,-7452] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:201:1] |
Generators of the group modulo torsion |
j |
1827347754908593/1034850081573 |
j-invariant |
L |
3.3122976209623 |
L(r)(E,1)/r! |
Ω |
0.72493434091882 |
Real period |
R |
0.76151669514514 |
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 |
70224bo3 13167j3 109725a3 30723i3 |
Quadratic twists by: -4 -3 5 -7 |