Atkin-Lehner |
5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
89425bd |
Isogeny class |
Conductor |
89425 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-8571602826171875 = -1 · 59 · 77 · 732 |
Discriminant |
Eigenvalues |
0 -1 5- 7- 3 -7 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-53083,6498568] |
[a1,a2,a3,a4,a6] |
Generators |
[-224:2664:1] [-58:3062:1] |
Generators of the group modulo torsion |
j |
-71991296/37303 |
j-invariant |
L |
7.229077435344 |
L(r)(E,1)/r! |
Ω |
0.38427337939079 |
Real period |
R |
1.175770594423 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000039 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89425bc1 12775l1 |
Quadratic twists by: 5 -7 |