Atkin-Lehner |
3- 7- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
11739i |
Isogeny class |
Conductor |
11739 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-3668214459 = -1 · 3 · 7 · 133 · 433 |
Discriminant |
Eigenvalues |
0 3- 3 7- -3 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-189,-3145] |
[a1,a2,a3,a4,a6] |
Generators |
[185:2515:1] |
Generators of the group modulo torsion |
j |
-750593769472/3668214459 |
j-invariant |
L |
5.5383790250704 |
L(r)(E,1)/r! |
Ω |
0.5816203369315 |
Real period |
R |
1.0580363308419 |
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 |
35217j2 82173b2 |
Quadratic twists by: -3 -7 |