Atkin-Lehner |
2+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
22646b |
Isogeny class |
Conductor |
22646 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2160 |
Modular degree for the optimal curve |
Δ |
-90584 = -1 · 23 · 132 · 67 |
Discriminant |
Eigenvalues |
2+ 1 3 -2 0 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17,28] |
[a1,a2,a3,a4,a6] |
Generators |
[4:3:1] |
Generators of the group modulo torsion |
j |
-2950753/536 |
j-invariant |
L |
4.9786204289028 |
L(r)(E,1)/r! |
Ω |
3.2599996437728 |
Real period |
R |
1.5271843475238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22646k1 |
Quadratic twists by: 13 |