Atkin-Lehner |
5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
89425k |
Isogeny class |
Conductor |
89425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-10520761825 = -1 · 52 · 78 · 73 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- -5 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,260,-4728] |
[a1,a2,a3,a4,a6] |
Generators |
[30:-187:1] [18:65:1] |
Generators of the group modulo torsion |
j |
663255/3577 |
j-invariant |
L |
6.307317368938 |
L(r)(E,1)/r! |
Ω |
0.64425874408922 |
Real period |
R |
2.4475094155024 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000358 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89425be1 12775c1 |
Quadratic twists by: 5 -7 |