Atkin-Lehner |
2+ 5+ 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
43160a |
Isogeny class |
Conductor |
43160 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36000 |
Modular degree for the optimal curve |
Δ |
-9117550000 = -1 · 24 · 55 · 133 · 83 |
Discriminant |
Eigenvalues |
2+ -2 5+ 3 -2 13+ -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4051,-100710] |
[a1,a2,a3,a4,a6] |
Generators |
[461:9809:1] |
Generators of the group modulo torsion |
j |
-459618669635584/569846875 |
j-invariant |
L |
3.5089477526217 |
L(r)(E,1)/r! |
Ω |
0.2991835996069 |
Real period |
R |
5.8642047178282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999957 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86320b1 |
Quadratic twists by: -4 |