Atkin-Lehner |
2+ 3- 7- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
22386l |
Isogeny class |
Conductor |
22386 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
54432 |
Modular degree for the optimal curve |
Δ |
-49866992732466 = -1 · 2 · 39 · 73 · 133 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 1 13+ 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,5732,296324] |
[a1,a2,a3,a4,a6] |
Generators |
[94:1244:1] |
Generators of the group modulo torsion |
j |
20832968985844679/49866992732466 |
j-invariant |
L |
5.3767715393698 |
L(r)(E,1)/r! |
Ω |
0.44205138641971 |
Real period |
R |
0.22524495201362 |
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 |
67158bx1 |
Quadratic twists by: -3 |