Atkin-Lehner |
2- 5+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
43700i |
Isogeny class |
Conductor |
43700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1026432 |
Modular degree for the optimal curve |
Δ |
-1621679687500000000 = -1 · 28 · 517 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 2 5+ -1 6 2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3070533,2072875937] |
[a1,a2,a3,a4,a6] |
Generators |
[70869:2968750:27] |
Generators of the group modulo torsion |
j |
-800396479914901504/405419921875 |
j-invariant |
L |
9.4608076040318 |
L(r)(E,1)/r! |
Ω |
0.26311968994108 |
Real period |
R |
1.4981787068964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999934 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8740b1 |
Quadratic twists by: 5 |