Atkin-Lehner |
2- 3+ 7+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
126672y |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1927787726592 = 28 · 32 · 7 · 132 · 294 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 2 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5468,-138756] |
[a1,a2,a3,a4,a6] |
Generators |
[85:58:1] |
Generators of the group modulo torsion |
j |
70639674082000/7530420807 |
j-invariant |
L |
5.1746454450776 |
L(r)(E,1)/r! |
Ω |
0.55901407762562 |
Real period |
R |
2.314183835118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000148608 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31668e2 |
Quadratic twists by: -4 |