Atkin-Lehner |
2+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
9568a |
Isogeny class |
Conductor |
9568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
15921152 = 212 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 0 0 -4 -4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-140,-608] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:4:1] [42:260:1] |
Generators of the group modulo torsion |
j |
74088000/3887 |
j-invariant |
L |
5.3118602445223 |
L(r)(E,1)/r! |
Ω |
1.3924591515282 |
Real period |
R |
1.9073666321532 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9568i2 19136l1 86112y2 124384m2 |
Quadratic twists by: -4 8 -3 13 |