Atkin-Lehner |
3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63945p |
Isogeny class |
Conductor |
63945 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22579200 |
Modular degree for the optimal curve |
Δ |
-1.2004193291961E+26 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 1 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-87378123,613765742728] |
[a1,a2,a3,a4,a6] |
Generators |
[5224:547600:1] |
Generators of the group modulo torsion |
j |
-860232957686415069184/1399642790416171875 |
j-invariant |
L |
2.6937690877698 |
L(r)(E,1)/r! |
Ω |
0.052811874650948 |
Real period |
R |
6.3758603193467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21315l1 9135h1 |
Quadratic twists by: -3 -7 |