Atkin-Lehner |
2+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
78650r |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
26390560768000000 = 230 · 56 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ -1 5+ 2 11- 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-119825,13871125] |
[a1,a2,a3,a4,a6] |
Generators |
[129710:1573545:343] |
Generators of the group modulo torsion |
j |
100638995169625/13958643712 |
j-invariant |
L |
4.4981567818607 |
L(r)(E,1)/r! |
Ω |
0.36144015403504 |
Real period |
R |
3.1112735616133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3146k2 78650bw2 |
Quadratic twists by: 5 -11 |