Atkin-Lehner |
2- 3- 5- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
93450db |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
420 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-418360243608720000 = -1 · 27 · 35 · 54 · 73 · 894 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -6 1 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-386588,-97642608] |
[a1,a2,a3,a4,a6] |
Generators |
[772:7624:1] |
Generators of the group modulo torsion |
j |
-10223247433441606225/669376389773952 |
j-invariant |
L |
11.484946053514 |
L(r)(E,1)/r! |
Ω |
0.095371347877621 |
Real period |
R |
0.28672248291174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960186 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93450i1 |
Quadratic twists by: 5 |