Atkin-Lehner |
2- 5- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
52030u |
Isogeny class |
Conductor |
52030 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
1579776 |
Modular degree for the optimal curve |
Δ |
-44644815673948160 = -1 · 211 · 5 · 119 · 432 |
Discriminant |
Eigenvalues |
2- 1 5- 3 11+ 6 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9330615,10969401257] |
[a1,a2,a3,a4,a6] |
Generators |
[1462:20565:1] |
Generators of the group modulo torsion |
j |
-38099594936018771/18933760 |
j-invariant |
L |
13.653955969157 |
L(r)(E,1)/r! |
Ω |
0.29451860123508 |
Real period |
R |
1.0536420443901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52030h1 |
Quadratic twists by: -11 |