Atkin-Lehner |
3+ 7- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
11739d |
Isogeny class |
Conductor |
11739 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
7694597547 = 32 · 76 · 132 · 43 |
Discriminant |
Eigenvalues |
-1 3+ 0 7- -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-508,1058] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:46:1] [-16:81:1] |
Generators of the group modulo torsion |
j |
14500009266625/7694597547 |
j-invariant |
L |
3.727674035304 |
L(r)(E,1)/r! |
Ω |
1.1545370747619 |
Real period |
R |
0.5381195801027 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35217f2 82173j2 |
Quadratic twists by: -3 -7 |