Atkin-Lehner |
3- 7- 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
50589l |
Isogeny class |
Conductor |
50589 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
42560 |
Modular degree for the optimal curve |
Δ |
-59994557469 = -1 · 36 · 7 · 115 · 73 |
Discriminant |
Eigenvalues |
1 3- 3 7- 11+ -4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1428,-23527] |
[a1,a2,a3,a4,a6] |
Generators |
[51225311159928:883616082082595:159837789483] |
Generators of the group modulo torsion |
j |
-441928354113/82297061 |
j-invariant |
L |
8.8551310271985 |
L(r)(E,1)/r! |
Ω |
0.38442243295268 |
Real period |
R |
23.034896686917 |
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 |
5621d1 |
Quadratic twists by: -3 |