Atkin-Lehner |
3+ 5+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
55275a |
Isogeny class |
Conductor |
55275 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
46656 |
Modular degree for the optimal curve |
Δ |
-226662046875 = -1 · 39 · 56 · 11 · 67 |
Discriminant |
Eigenvalues |
0 3+ 5+ 1 11+ -5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-683,24143] |
[a1,a2,a3,a4,a6] |
Generators |
[13:131:1] |
Generators of the group modulo torsion |
j |
-2258403328/14506371 |
j-invariant |
L |
3.2376879622436 |
L(r)(E,1)/r! |
Ω |
0.85640354985361 |
Real period |
R |
3.7805634537883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999149 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2211f1 |
Quadratic twists by: 5 |