Atkin-Lehner |
2+ 23+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
13432a |
Isogeny class |
Conductor |
13432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
125508608 = 210 · 23 · 732 |
Discriminant |
Eigenvalues |
2+ 0 0 0 0 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-515,-4466] |
[a1,a2,a3,a4,a6] |
Generators |
[-330:44:27] |
Generators of the group modulo torsion |
j |
14751814500/122567 |
j-invariant |
L |
4.3314338433285 |
L(r)(E,1)/r! |
Ω |
1.0026870317884 |
Real period |
R |
4.3198263326521 |
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 |
26864b2 107456a2 120888k2 |
Quadratic twists by: -4 8 -3 |