Atkin-Lehner |
2+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
9568b |
Isogeny class |
Conductor |
9568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3521024 = 29 · 13 · 232 |
Discriminant |
Eigenvalues |
2+ 0 -2 -2 -4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-131,-570] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:2:1] [569:13570:1] |
Generators of the group modulo torsion |
j |
485587656/6877 |
j-invariant |
L |
5.0892472136384 |
L(r)(E,1)/r! |
Ω |
1.4123883245611 |
Real period |
R |
3.6032917612934 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9568e2 19136q2 86112bp2 124384i2 |
Quadratic twists by: -4 8 -3 13 |